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Finding the Fourth Proportional to 3,802.37, 5,704.92 and 2,715.26

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Solution

The fourth proportional to 3,802.37, 5,704.92 and 2,715.26 is: 4,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.37 : 5,704.92 = 2,715.26 : x
  2. Step 2: Convert to fraction form
    3,802.37/5,704.92 = 2,715.26/x
  3. Step 3: Cross multiply
    3,802.37x = 5,704.92 × 2,715.26
  4. Step 4: Simplify right side
    3,802.37x = 15,490,312.55
  5. Step 5: Solve for x
    x = 15,490,312.55/3,802.37
  6. Step 6: Final answer
    x = 4,073.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.