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Finding the Fourth Proportional to 4,175.58, 6,265.89 and 2,424

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Solution

The fourth proportional to 4,175.58, 6,265.89 and 2,424 is: 3,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.58 : 6,265.89 = 2,424 : x
  2. Step 2: Convert to fraction form
    4,175.58/6,265.89 = 2,424/x
  3. Step 3: Cross multiply
    4,175.58x = 6,265.89 × 2,424
  4. Step 4: Simplify right side
    4,175.58x = 15,188,517.36
  5. Step 5: Solve for x
    x = 15,188,517.36/4,175.58
  6. Step 6: Final answer
    x = 3,637.46

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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.