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Finding the Fourth Proportional to 4,253.62, 6,380.56 and 1,175.62

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Solution

The fourth proportional to 4,253.62, 6,380.56 and 1,175.62 is: 1,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.62 : 6,380.56 = 1,175.62 : x
  2. Step 2: Convert to fraction form
    4,253.62/6,380.56 = 1,175.62/x
  3. Step 3: Cross multiply
    4,253.62x = 6,380.56 × 1,175.62
  4. Step 4: Simplify right side
    4,253.62x = 7,501,113.95
  5. Step 5: Solve for x
    x = 7,501,113.95/4,253.62
  6. Step 6: Final answer
    x = 1,763.47

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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.