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Finding the Fourth Proportional to 5,470.56, 8,207.25 and 1,575.27

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Solution

The fourth proportional to 5,470.56, 8,207.25 and 1,575.27 is: 2,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.56 : 8,207.25 = 1,575.27 : x
  2. Step 2: Convert to fraction form
    5,470.56/8,207.25 = 1,575.27/x
  3. Step 3: Cross multiply
    5,470.56x = 8,207.25 × 1,575.27
  4. Step 4: Simplify right side
    5,470.56x = 12,928,634.71
  5. Step 5: Solve for x
    x = 12,928,634.71/5,470.56
  6. Step 6: Final answer
    x = 2,363.31

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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.