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Finding the Fourth Proportional to 4,175.88, 6,264.78 and 1,254.24

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Solution

The fourth proportional to 4,175.88, 6,264.78 and 1,254.24 is: 1,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.88 : 6,264.78 = 1,254.24 : x
  2. Step 2: Convert to fraction form
    4,175.88/6,264.78 = 1,254.24/x
  3. Step 3: Cross multiply
    4,175.88x = 6,264.78 × 1,254.24
  4. Step 4: Simplify right side
    4,175.88x = 7,857,537.67
  5. Step 5: Solve for x
    x = 7,857,537.67/4,175.88
  6. Step 6: Final answer
    x = 1,881.65

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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.