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Finding the Fourth Proportional to 3,189.38, 4,780.62 and 1,542.44

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Solution

The fourth proportional to 3,189.38, 4,780.62 and 1,542.44 is: 2,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.38 : 4,780.62 = 1,542.44 : x
  2. Step 2: Convert to fraction form
    3,189.38/4,780.62 = 1,542.44/x
  3. Step 3: Cross multiply
    3,189.38x = 4,780.62 × 1,542.44
  4. Step 4: Simplify right side
    3,189.38x = 7,373,831.46
  5. Step 5: Solve for x
    x = 7,373,831.46/3,189.38
  6. Step 6: Final answer
    x = 2,312.00

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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.