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Finding the Fourth Proportional to 3,175.74, 4,343.63 and 3,124.71

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Solution

The fourth proportional to 3,175.74, 4,343.63 and 3,124.71 is: 4,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.74 : 4,343.63 = 3,124.71 : x
  2. Step 2: Convert to fraction form
    3,175.74/4,343.63 = 3,124.71/x
  3. Step 3: Cross multiply
    3,175.74x = 4,343.63 × 3,124.71
  4. Step 4: Simplify right side
    3,175.74x = 13,572,568.47
  5. Step 5: Solve for x
    x = 13,572,568.47/3,175.74
  6. Step 6: Final answer
    x = 4,273.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.