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Finding the Fourth Proportional to 5,648.54, 8,472.09 and 1,488.87

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Solution

The fourth proportional to 5,648.54, 8,472.09 and 1,488.87 is: 2,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.54 : 8,472.09 = 1,488.87 : x
  2. Step 2: Convert to fraction form
    5,648.54/8,472.09 = 1,488.87/x
  3. Step 3: Cross multiply
    5,648.54x = 8,472.09 × 1,488.87
  4. Step 4: Simplify right side
    5,648.54x = 12,613,833.19
  5. Step 5: Solve for x
    x = 12,613,833.19/5,648.54
  6. Step 6: Final answer
    x = 2,233.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.