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Finding the Fourth Proportional to 3,685.76, 5,524.96 and 2,043.04

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Solution

The fourth proportional to 3,685.76, 5,524.96 and 2,043.04 is: 3,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.76 : 5,524.96 = 2,043.04 : x
  2. Step 2: Convert to fraction form
    3,685.76/5,524.96 = 2,043.04/x
  3. Step 3: Cross multiply
    3,685.76x = 5,524.96 × 2,043.04
  4. Step 4: Simplify right side
    3,685.76x = 11,287,714.28
  5. Step 5: Solve for x
    x = 11,287,714.28/3,685.76
  6. Step 6: Final answer
    x = 3,062.52

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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.