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Finding the Fourth Proportional to 3,777.68, 5,671.80 and 2,689.04

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Solution

The fourth proportional to 3,777.68, 5,671.80 and 2,689.04 is: 4,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.68 : 5,671.80 = 2,689.04 : x
  2. Step 2: Convert to fraction form
    3,777.68/5,671.80 = 2,689.04/x
  3. Step 3: Cross multiply
    3,777.68x = 5,671.80 × 2,689.04
  4. Step 4: Simplify right side
    3,777.68x = 15,251,697.07
  5. Step 5: Solve for x
    x = 15,251,697.07/3,777.68
  6. Step 6: Final answer
    x = 4,037.32

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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.