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Finding the Fourth Proportional to 4,641.02, 6,404.57 and 2,545.14

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Solution

The fourth proportional to 4,641.02, 6,404.57 and 2,545.14 is: 3,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.02 : 6,404.57 = 2,545.14 : x
  2. Step 2: Convert to fraction form
    4,641.02/6,404.57 = 2,545.14/x
  3. Step 3: Cross multiply
    4,641.02x = 6,404.57 × 2,545.14
  4. Step 4: Simplify right side
    4,641.02x = 16,300,527.29
  5. Step 5: Solve for x
    x = 16,300,527.29/4,641.02
  6. Step 6: Final answer
    x = 3,512.27

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