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Finding the Fourth Proportional to 5,748.59, 7,934.67 and 3,391.49

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Solution

The fourth proportional to 5,748.59, 7,934.67 and 3,391.49 is: 4,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.59 : 7,934.67 = 3,391.49 : x
  2. Step 2: Convert to fraction form
    5,748.59/7,934.67 = 3,391.49/x
  3. Step 3: Cross multiply
    5,748.59x = 7,934.67 × 3,391.49
  4. Step 4: Simplify right side
    5,748.59x = 26,910,314.28
  5. Step 5: Solve for x
    x = 26,910,314.28/5,748.59
  6. Step 6: Final answer
    x = 4,681.21

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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.