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Finding the Fourth Proportional to 5,648,311.63, 7,794,834.44 and 3,200,841.30

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Solution

The fourth proportional to 5,648,311.63, 7,794,834.44 and 3,200,841.30 is: 4,417,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648,311.63 : 7,794,834.44 = 3,200,841.30 : x
  2. Step 2: Convert to fraction form
    5,648,311.63/7,794,834.44 = 3,200,841.30/x
  3. Step 3: Cross multiply
    5,648,311.63x = 7,794,834.44 × 3,200,841.30
  4. Step 4: Simplify right side
    5,648,311.63x = 24,950,028,002,214.37
  5. Step 5: Solve for x
    x = 24,950,028,002,214.37/5,648,311.63
  6. Step 6: Final answer
    x = 4,417,254.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.