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Finding the Fourth Proportional to 5,700.37, 8,531.10 and 4,776.97

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Solution

The fourth proportional to 5,700.37, 8,531.10 and 4,776.97 is: 7,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.37 : 8,531.10 = 4,776.97 : x
  2. Step 2: Convert to fraction form
    5,700.37/8,531.10 = 4,776.97/x
  3. Step 3: Cross multiply
    5,700.37x = 8,531.10 × 4,776.97
  4. Step 4: Simplify right side
    5,700.37x = 40,752,766.11
  5. Step 5: Solve for x
    x = 40,752,766.11/5,700.37
  6. Step 6: Final answer
    x = 7,149.15

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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.