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Finding the Fourth Proportional to 3,920.48, 5,877 and 1,454.66

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Solution

The fourth proportional to 3,920.48, 5,877 and 1,454.66 is: 2,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.48 : 5,877 = 1,454.66 : x
  2. Step 2: Convert to fraction form
    3,920.48/5,877 = 1,454.66/x
  3. Step 3: Cross multiply
    3,920.48x = 5,877 × 1,454.66
  4. Step 4: Simplify right side
    3,920.48x = 8,549,036.82
  5. Step 5: Solve for x
    x = 8,549,036.82/3,920.48
  6. Step 6: Final answer
    x = 2,180.61

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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.