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Finding the Fourth Proportional to 4,175.87, 6,264.12 and 1,402.56

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Solution

The fourth proportional to 4,175.87, 6,264.12 and 1,402.56 is: 2,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.87 : 6,264.12 = 1,402.56 : x
  2. Step 2: Convert to fraction form
    4,175.87/6,264.12 = 1,402.56/x
  3. Step 3: Cross multiply
    4,175.87x = 6,264.12 × 1,402.56
  4. Step 4: Simplify right side
    4,175.87x = 8,785,804.15
  5. Step 5: Solve for x
    x = 8,785,804.15/4,175.87
  6. Step 6: Final answer
    x = 2,103.94

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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.