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Finding the Fourth Proportional to 4,357.53, 6,534.14 and 1,433.97

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Solution

The fourth proportional to 4,357.53, 6,534.14 and 1,433.97 is: 2,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.53 : 6,534.14 = 1,433.97 : x
  2. Step 2: Convert to fraction form
    4,357.53/6,534.14 = 1,433.97/x
  3. Step 3: Cross multiply
    4,357.53x = 6,534.14 × 1,433.97
  4. Step 4: Simplify right side
    4,357.53x = 9,369,753.57
  5. Step 5: Solve for x
    x = 9,369,753.57/4,357.53
  6. Step 6: Final answer
    x = 2,150.24

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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.