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Finding the Fourth Proportional to 3,620.59, 5,432.10 and 1,155.76

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Solution

The fourth proportional to 3,620.59, 5,432.10 and 1,155.76 is: 1,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.59 : 5,432.10 = 1,155.76 : x
  2. Step 2: Convert to fraction form
    3,620.59/5,432.10 = 1,155.76/x
  3. Step 3: Cross multiply
    3,620.59x = 5,432.10 × 1,155.76
  4. Step 4: Simplify right side
    3,620.59x = 6,278,203.90
  5. Step 5: Solve for x
    x = 6,278,203.90/3,620.59
  6. Step 6: Final answer
    x = 1,734.03

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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.