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Finding the Fourth Proportional to 4,463.74, 6,159.86 and 2,474.28

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Solution

The fourth proportional to 4,463.74, 6,159.86 and 2,474.28 is: 3,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.74 : 6,159.86 = 2,474.28 : x
  2. Step 2: Convert to fraction form
    4,463.74/6,159.86 = 2,474.28/x
  3. Step 3: Cross multiply
    4,463.74x = 6,159.86 × 2,474.28
  4. Step 4: Simplify right side
    4,463.74x = 15,241,187.60
  5. Step 5: Solve for x
    x = 15,241,187.60/4,463.74
  6. Step 6: Final answer
    x = 3,414.45

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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.