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Finding the Fourth Proportional to 3,620.88, 5,432.11 and 1,542.67

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Solution

The fourth proportional to 3,620.88, 5,432.11 and 1,542.67 is: 2,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.88 : 5,432.11 = 1,542.67 : x
  2. Step 2: Convert to fraction form
    3,620.88/5,432.11 = 1,542.67/x
  3. Step 3: Cross multiply
    3,620.88x = 5,432.11 × 1,542.67
  4. Step 4: Simplify right side
    3,620.88x = 8,379,959.65
  5. Step 5: Solve for x
    x = 8,379,959.65/3,620.88
  6. Step 6: Final answer
    x = 2,314.35

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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.