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Finding the Fourth Proportional to 4,167.46, 6,220.77 and 3,641.99

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Solution

The fourth proportional to 4,167.46, 6,220.77 and 3,641.99 is: 5,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.46 : 6,220.77 = 3,641.99 : x
  2. Step 2: Convert to fraction form
    4,167.46/6,220.77 = 3,641.99/x
  3. Step 3: Cross multiply
    4,167.46x = 6,220.77 × 3,641.99
  4. Step 4: Simplify right side
    4,167.46x = 22,655,963.92
  5. Step 5: Solve for x
    x = 22,655,963.92/4,167.46
  6. Step 6: Final answer
    x = 5,436.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.