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Finding the Fourth Proportional to 5,562.76, 8,345.58 and 2,965

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Solution

The fourth proportional to 5,562.76, 8,345.58 and 2,965 is: 4,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.76 : 8,345.58 = 2,965 : x
  2. Step 2: Convert to fraction form
    5,562.76/8,345.58 = 2,965/x
  3. Step 3: Cross multiply
    5,562.76x = 8,345.58 × 2,965
  4. Step 4: Simplify right side
    5,562.76x = 24,744,644.70
  5. Step 5: Solve for x
    x = 24,744,644.70/5,562.76
  6. Step 6: Final answer
    x = 4,448.27

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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.