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Finding the Fourth Proportional to 4,314.70, 5,957.24 and 3,304.63

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Solution

The fourth proportional to 4,314.70, 5,957.24 and 3,304.63 is: 4,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.70 : 5,957.24 = 3,304.63 : x
  2. Step 2: Convert to fraction form
    4,314.70/5,957.24 = 3,304.63/x
  3. Step 3: Cross multiply
    4,314.70x = 5,957.24 × 3,304.63
  4. Step 4: Simplify right side
    4,314.70x = 19,686,474.02
  5. Step 5: Solve for x
    x = 19,686,474.02/4,314.70
  6. Step 6: Final answer
    x = 4,562.65

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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.