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Finding the Fourth Proportional to 4,641.85, 6,406.05 and 2,545.97

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Solution

The fourth proportional to 4,641.85, 6,406.05 and 2,545.97 is: 3,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.85 : 6,406.05 = 2,545.97 : x
  2. Step 2: Convert to fraction form
    4,641.85/6,406.05 = 2,545.97/x
  3. Step 3: Cross multiply
    4,641.85x = 6,406.05 × 2,545.97
  4. Step 4: Simplify right side
    4,641.85x = 16,309,611.12
  5. Step 5: Solve for x
    x = 16,309,611.12/4,641.85
  6. Step 6: Final answer
    x = 3,513.60

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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.