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Finding the Fourth Proportional to 4,232.88, 6,349.73 and 1,154.88

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Solution

The fourth proportional to 4,232.88, 6,349.73 and 1,154.88 is: 1,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.88 : 6,349.73 = 1,154.88 : x
  2. Step 2: Convert to fraction form
    4,232.88/6,349.73 = 1,154.88/x
  3. Step 3: Cross multiply
    4,232.88x = 6,349.73 × 1,154.88
  4. Step 4: Simplify right side
    4,232.88x = 7,333,176.18
  5. Step 5: Solve for x
    x = 7,333,176.18/4,232.88
  6. Step 6: Final answer
    x = 1,732.43

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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.