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Finding the Fourth Proportional to 5,750.16, 8,625 and 3,251.52

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Solution

The fourth proportional to 5,750.16, 8,625 and 3,251.52 is: 4,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.16 : 8,625 = 3,251.52 : x
  2. Step 2: Convert to fraction form
    5,750.16/8,625 = 3,251.52/x
  3. Step 3: Cross multiply
    5,750.16x = 8,625 × 3,251.52
  4. Step 4: Simplify right side
    5,750.16x = 28,044,360
  5. Step 5: Solve for x
    x = 28,044,360/5,750.16
  6. Step 6: Final answer
    x = 4,877.14

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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.