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Finding the Fourth Proportional to 4,463.64, 6,159.61 and 2,474.18

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Solution

The fourth proportional to 4,463.64, 6,159.61 and 2,474.18 is: 3,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.64 : 6,159.61 = 2,474.18 : x
  2. Step 2: Convert to fraction form
    4,463.64/6,159.61 = 2,474.18/x
  3. Step 3: Cross multiply
    4,463.64x = 6,159.61 × 2,474.18
  4. Step 4: Simplify right side
    4,463.64x = 15,239,983.87
  5. Step 5: Solve for x
    x = 15,239,983.87/4,463.64
  6. Step 6: Final answer
    x = 3,414.25

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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.