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Finding the Fourth Proportional to 3,756.59, 5,638.12 and 1,449.71

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Solution

The fourth proportional to 3,756.59, 5,638.12 and 1,449.71 is: 2,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.59 : 5,638.12 = 1,449.71 : x
  2. Step 2: Convert to fraction form
    3,756.59/5,638.12 = 1,449.71/x
  3. Step 3: Cross multiply
    3,756.59x = 5,638.12 × 1,449.71
  4. Step 4: Simplify right side
    3,756.59x = 8,173,607.13
  5. Step 5: Solve for x
    x = 8,173,607.13/3,756.59
  6. Step 6: Final answer
    x = 2,175.81

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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.