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Finding the Fourth Proportional to 5,475.74, 8,214.35 and 1,776.77

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Solution

The fourth proportional to 5,475.74, 8,214.35 and 1,776.77 is: 2,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.74 : 8,214.35 = 1,776.77 : x
  2. Step 2: Convert to fraction form
    5,475.74/8,214.35 = 1,776.77/x
  3. Step 3: Cross multiply
    5,475.74x = 8,214.35 × 1,776.77
  4. Step 4: Simplify right side
    5,475.74x = 14,594,991.50
  5. Step 5: Solve for x
    x = 14,594,991.50/5,475.74
  6. Step 6: Final answer
    x = 2,665.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.