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Finding the Fourth Proportional to 5,100.20, 7,652.10 and 4,920.20

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Solution

The fourth proportional to 5,100.20, 7,652.10 and 4,920.20 is: 7,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.20 : 7,652.10 = 4,920.20 : x
  2. Step 2: Convert to fraction form
    5,100.20/7,652.10 = 4,920.20/x
  3. Step 3: Cross multiply
    5,100.20x = 7,652.10 × 4,920.20
  4. Step 4: Simplify right side
    5,100.20x = 37,649,862.42
  5. Step 5: Solve for x
    x = 37,649,862.42/5,100.20
  6. Step 6: Final answer
    x = 7,382.04

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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.