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Finding the Fourth Proportional to 5,732.14, 8,592.12 and 3,645.58

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Solution

The fourth proportional to 5,732.14, 8,592.12 and 3,645.58 is: 5,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.14 : 8,592.12 = 3,645.58 : x
  2. Step 2: Convert to fraction form
    5,732.14/8,592.12 = 3,645.58/x
  3. Step 3: Cross multiply
    5,732.14x = 8,592.12 × 3,645.58
  4. Step 4: Simplify right side
    5,732.14x = 31,323,260.83
  5. Step 5: Solve for x
    x = 31,323,260.83/5,732.14
  6. Step 6: Final answer
    x = 5,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.