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Finding the Fourth Proportional to 5,470.52, 7,548.12 and 3,230.87

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Solution

The fourth proportional to 5,470.52, 7,548.12 and 3,230.87 is: 4,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.52 : 7,548.12 = 3,230.87 : x
  2. Step 2: Convert to fraction form
    5,470.52/7,548.12 = 3,230.87/x
  3. Step 3: Cross multiply
    5,470.52x = 7,548.12 × 3,230.87
  4. Step 4: Simplify right side
    5,470.52x = 24,386,956.72
  5. Step 5: Solve for x
    x = 24,386,956.72/5,470.52
  6. Step 6: Final answer
    x = 4,457.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.