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Finding the Fourth Proportional to 5,764.43, 7,955.68 and 3,375.13

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Solution

The fourth proportional to 5,764.43, 7,955.68 and 3,375.13 is: 4,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.43 : 7,955.68 = 3,375.13 : x
  2. Step 2: Convert to fraction form
    5,764.43/7,955.68 = 3,375.13/x
  3. Step 3: Cross multiply
    5,764.43x = 7,955.68 × 3,375.13
  4. Step 4: Simplify right side
    5,764.43x = 26,851,454.24
  5. Step 5: Solve for x
    x = 26,851,454.24/5,764.43
  6. Step 6: Final answer
    x = 4,658.13

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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.