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Finding the Fourth Proportional to 5,270.24, 7,906.92 and 1,572.59

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Solution

The fourth proportional to 5,270.24, 7,906.92 and 1,572.59 is: 2,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.24 : 7,906.92 = 1,572.59 : x
  2. Step 2: Convert to fraction form
    5,270.24/7,906.92 = 1,572.59/x
  3. Step 3: Cross multiply
    5,270.24x = 7,906.92 × 1,572.59
  4. Step 4: Simplify right side
    5,270.24x = 12,434,343.32
  5. Step 5: Solve for x
    x = 12,434,343.32/5,270.24
  6. Step 6: Final answer
    x = 2,359.35

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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.