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Finding the Fourth Proportional to 3,375.48, 4,657.95 and 2,116.49

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Solution

The fourth proportional to 3,375.48, 4,657.95 and 2,116.49 is: 2,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.48 : 4,657.95 = 2,116.49 : x
  2. Step 2: Convert to fraction form
    3,375.48/4,657.95 = 2,116.49/x
  3. Step 3: Cross multiply
    3,375.48x = 4,657.95 × 2,116.49
  4. Step 4: Simplify right side
    3,375.48x = 9,858,470.72
  5. Step 5: Solve for x
    x = 9,858,470.72/3,375.48
  6. Step 6: Final answer
    x = 2,920.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.