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Finding the Fourth Proportional to 3,772.32, 5,658.78 and 1,175.28

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Solution

The fourth proportional to 3,772.32, 5,658.78 and 1,175.28 is: 1,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.32 : 5,658.78 = 1,175.28 : x
  2. Step 2: Convert to fraction form
    3,772.32/5,658.78 = 1,175.28/x
  3. Step 3: Cross multiply
    3,772.32x = 5,658.78 × 1,175.28
  4. Step 4: Simplify right side
    3,772.32x = 6,650,650.96
  5. Step 5: Solve for x
    x = 6,650,650.96/3,772.32
  6. Step 6: Final answer
    x = 1,763.01

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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.