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Finding the Fourth Proportional to 5,270.18, 7,906.41 and 1,572.71

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Solution

The fourth proportional to 5,270.18, 7,906.41 and 1,572.71 is: 2,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.18 : 7,906.41 = 1,572.71 : x
  2. Step 2: Convert to fraction form
    5,270.18/7,906.41 = 1,572.71/x
  3. Step 3: Cross multiply
    5,270.18x = 7,906.41 × 1,572.71
  4. Step 4: Simplify right side
    5,270.18x = 12,434,490.07
  5. Step 5: Solve for x
    x = 12,434,490.07/5,270.18
  6. Step 6: Final answer
    x = 2,359.41

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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.