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Finding the Fourth Proportional to 4,339.26, 6,507.18 and 1,564.97

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Solution

The fourth proportional to 4,339.26, 6,507.18 and 1,564.97 is: 2,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.26 : 6,507.18 = 1,564.97 : x
  2. Step 2: Convert to fraction form
    4,339.26/6,507.18 = 1,564.97/x
  3. Step 3: Cross multiply
    4,339.26x = 6,507.18 × 1,564.97
  4. Step 4: Simplify right side
    4,339.26x = 10,183,508.95
  5. Step 5: Solve for x
    x = 10,183,508.95/4,339.26
  6. Step 6: Final answer
    x = 2,346.83

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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.