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Finding the Fourth Proportional to 3,767.28, 5,648.28 and 1,575.36

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Solution

The fourth proportional to 3,767.28, 5,648.28 and 1,575.36 is: 2,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.28 : 5,648.28 = 1,575.36 : x
  2. Step 2: Convert to fraction form
    3,767.28/5,648.28 = 1,575.36/x
  3. Step 3: Cross multiply
    3,767.28x = 5,648.28 × 1,575.36
  4. Step 4: Simplify right side
    3,767.28x = 8,898,074.38
  5. Step 5: Solve for x
    x = 8,898,074.38/3,767.28
  6. Step 6: Final answer
    x = 2,361.94

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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.