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Finding the Fourth Proportional to 4,531.68, 6,799.95 and 4,201.20

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Solution

The fourth proportional to 4,531.68, 6,799.95 and 4,201.20 is: 6,304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.68 : 6,799.95 = 4,201.20 : x
  2. Step 2: Convert to fraction form
    4,531.68/6,799.95 = 4,201.20/x
  3. Step 3: Cross multiply
    4,531.68x = 6,799.95 × 4,201.20
  4. Step 4: Simplify right side
    4,531.68x = 28,567,949.94
  5. Step 5: Solve for x
    x = 28,567,949.94/4,531.68
  6. Step 6: Final answer
    x = 6,304.05

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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.