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Finding the Fourth Proportional to 4,167.80, 5,752.02 and 2,375.72

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Solution

The fourth proportional to 4,167.80, 5,752.02 and 2,375.72 is: 3,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.80 : 5,752.02 = 2,375.72 : x
  2. Step 2: Convert to fraction form
    4,167.80/5,752.02 = 2,375.72/x
  3. Step 3: Cross multiply
    4,167.80x = 5,752.02 × 2,375.72
  4. Step 4: Simplify right side
    4,167.80x = 13,665,188.95
  5. Step 5: Solve for x
    x = 13,665,188.95/4,167.80
  6. Step 6: Final answer
    x = 3,278.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.