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Finding the Fourth Proportional to 4,641.54, 6,405.48 and 2,545.71

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Solution

The fourth proportional to 4,641.54, 6,405.48 and 2,545.71 is: 3,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.54 : 6,405.48 = 2,545.71 : x
  2. Step 2: Convert to fraction form
    4,641.54/6,405.48 = 2,545.71/x
  3. Step 3: Cross multiply
    4,641.54x = 6,405.48 × 2,545.71
  4. Step 4: Simplify right side
    4,641.54x = 16,306,494.49
  5. Step 5: Solve for x
    x = 16,306,494.49/4,641.54
  6. Step 6: Final answer
    x = 3,513.16

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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.