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Finding the Fourth Proportional to 4,207.62, 6,309.23 and 1,572.96

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Solution

The fourth proportional to 4,207.62, 6,309.23 and 1,572.96 is: 2,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.62 : 6,309.23 = 1,572.96 : x
  2. Step 2: Convert to fraction form
    4,207.62/6,309.23 = 1,572.96/x
  3. Step 3: Cross multiply
    4,207.62x = 6,309.23 × 1,572.96
  4. Step 4: Simplify right side
    4,207.62x = 9,924,134.87
  5. Step 5: Solve for x
    x = 9,924,134.87/4,207.62
  6. Step 6: Final answer
    x = 2,358.61

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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.