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Finding the Fourth Proportional to 5,173.92, 7,752.72 and 3,223.20

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Solution

The fourth proportional to 5,173.92, 7,752.72 and 3,223.20 is: 4,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.92 : 7,752.72 = 3,223.20 : x
  2. Step 2: Convert to fraction form
    5,173.92/7,752.72 = 3,223.20/x
  3. Step 3: Cross multiply
    5,173.92x = 7,752.72 × 3,223.20
  4. Step 4: Simplify right side
    5,173.92x = 24,988,567.10
  5. Step 5: Solve for x
    x = 24,988,567.10/5,173.92
  6. Step 6: Final answer
    x = 4,829.72

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