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Finding the Fourth Proportional to 3,734.68, 5,156.61 and 2,409.16

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Solution

The fourth proportional to 3,734.68, 5,156.61 and 2,409.16 is: 3,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.68 : 5,156.61 = 2,409.16 : x
  2. Step 2: Convert to fraction form
    3,734.68/5,156.61 = 2,409.16/x
  3. Step 3: Cross multiply
    3,734.68x = 5,156.61 × 2,409.16
  4. Step 4: Simplify right side
    3,734.68x = 12,423,098.55
  5. Step 5: Solve for x
    x = 12,423,098.55/3,734.68
  6. Step 6: Final answer
    x = 3,326.42

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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.