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Finding the Fourth Proportional to 4,175.38, 6,264.03 and 1,253.74

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Solution

The fourth proportional to 4,175.38, 6,264.03 and 1,253.74 is: 1,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.38 : 6,264.03 = 1,253.74 : x
  2. Step 2: Convert to fraction form
    4,175.38/6,264.03 = 1,253.74/x
  3. Step 3: Cross multiply
    4,175.38x = 6,264.03 × 1,253.74
  4. Step 4: Simplify right side
    4,175.38x = 7,853,464.97
  5. Step 5: Solve for x
    x = 7,853,464.97/4,175.38
  6. Step 6: Final answer
    x = 1,880.90

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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.