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Finding the Fourth Proportional to 4,342.73, 6,512.73 and 1,569.02

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Solution

The fourth proportional to 4,342.73, 6,512.73 and 1,569.02 is: 2,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.73 : 6,512.73 = 1,569.02 : x
  2. Step 2: Convert to fraction form
    4,342.73/6,512.73 = 1,569.02/x
  3. Step 3: Cross multiply
    4,342.73x = 6,512.73 × 1,569.02
  4. Step 4: Simplify right side
    4,342.73x = 10,218,603.62
  5. Step 5: Solve for x
    x = 10,218,603.62/4,342.73
  6. Step 6: Final answer
    x = 2,353.04

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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.