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Finding the Fourth Proportional to 3,874.32, 5,802.12 and 2,463.81

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Solution

The fourth proportional to 3,874.32, 5,802.12 and 2,463.81 is: 3,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.32 : 5,802.12 = 2,463.81 : x
  2. Step 2: Convert to fraction form
    3,874.32/5,802.12 = 2,463.81/x
  3. Step 3: Cross multiply
    3,874.32x = 5,802.12 × 2,463.81
  4. Step 4: Simplify right side
    3,874.32x = 14,295,321.28
  5. Step 5: Solve for x
    x = 14,295,321.28/3,874.32
  6. Step 6: Final answer
    x = 3,689.76

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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.