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Finding the Fourth Proportional to 3,687.42, 5,089.71 and 2,429.40

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Solution

The fourth proportional to 3,687.42, 5,089.71 and 2,429.40 is: 3,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.42 : 5,089.71 = 2,429.40 : x
  2. Step 2: Convert to fraction form
    3,687.42/5,089.71 = 2,429.40/x
  3. Step 3: Cross multiply
    3,687.42x = 5,089.71 × 2,429.40
  4. Step 4: Simplify right side
    3,687.42x = 12,364,941.47
  5. Step 5: Solve for x
    x = 12,364,941.47/3,687.42
  6. Step 6: Final answer
    x = 3,353.28

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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.