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Finding the Fourth Proportional to 3,757.07, 5,632.56 and 1,567.43

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Solution

The fourth proportional to 3,757.07, 5,632.56 and 1,567.43 is: 2,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.07 : 5,632.56 = 1,567.43 : x
  2. Step 2: Convert to fraction form
    3,757.07/5,632.56 = 1,567.43/x
  3. Step 3: Cross multiply
    3,757.07x = 5,632.56 × 1,567.43
  4. Step 4: Simplify right side
    3,757.07x = 8,828,643.52
  5. Step 5: Solve for x
    x = 8,828,643.52/3,757.07
  6. Step 6: Final answer
    x = 2,349.87

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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.