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Finding the Fourth Proportional to 5,470.32, 7,542.48 and 4,576.08

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Solution

The fourth proportional to 5,470.32, 7,542.48 and 4,576.08 is: 6,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.32 : 7,542.48 = 4,576.08 : x
  2. Step 2: Convert to fraction form
    5,470.32/7,542.48 = 4,576.08/x
  3. Step 3: Cross multiply
    5,470.32x = 7,542.48 × 4,576.08
  4. Step 4: Simplify right side
    5,470.32x = 34,514,991.88
  5. Step 5: Solve for x
    x = 34,514,991.88/5,470.32
  6. Step 6: Final answer
    x = 6,309.50

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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.