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Finding the Fourth Proportional to 3,659.46, 5,052.22 and 2,402.71

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Solution

The fourth proportional to 3,659.46, 5,052.22 and 2,402.71 is: 3,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.46 : 5,052.22 = 2,402.71 : x
  2. Step 2: Convert to fraction form
    3,659.46/5,052.22 = 2,402.71/x
  3. Step 3: Cross multiply
    3,659.46x = 5,052.22 × 2,402.71
  4. Step 4: Simplify right side
    3,659.46x = 12,139,012.89
  5. Step 5: Solve for x
    x = 12,139,012.89/3,659.46
  6. Step 6: Final answer
    x = 3,317.16

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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.