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Finding the Fourth Proportional to 3,657.89, 5,046.00 and 2,329.29

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Solution

The fourth proportional to 3,657.89, 5,046.00 and 2,329.29 is: 3,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.89 : 5,046.00 = 2,329.29 : x
  2. Step 2: Convert to fraction form
    3,657.89/5,046.00 = 2,329.29/x
  3. Step 3: Cross multiply
    3,657.89x = 5,046.00 × 2,329.29
  4. Step 4: Simplify right side
    3,657.89x = 11,753,588.61
  5. Step 5: Solve for x
    x = 11,753,588.61/3,657.89
  6. Step 6: Final answer
    x = 3,213.21

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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.