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Finding the Fourth Proportional to 5,502.46, 8,251.86 and 3,038.44

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Solution

The fourth proportional to 5,502.46, 8,251.86 and 3,038.44 is: 4,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.46 : 8,251.86 = 3,038.44 : x
  2. Step 2: Convert to fraction form
    5,502.46/8,251.86 = 3,038.44/x
  3. Step 3: Cross multiply
    5,502.46x = 8,251.86 × 3,038.44
  4. Step 4: Simplify right side
    5,502.46x = 25,072,781.50
  5. Step 5: Solve for x
    x = 25,072,781.50/5,502.46
  6. Step 6: Final answer
    x = 4,556.65

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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.