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Finding the Fourth Proportional to 5,894.78, 8,134.43 and 3,538.22

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Solution

The fourth proportional to 5,894.78, 8,134.43 and 3,538.22 is: 4,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.78 : 8,134.43 = 3,538.22 : x
  2. Step 2: Convert to fraction form
    5,894.78/8,134.43 = 3,538.22/x
  3. Step 3: Cross multiply
    5,894.78x = 8,134.43 × 3,538.22
  4. Step 4: Simplify right side
    5,894.78x = 28,781,344.55
  5. Step 5: Solve for x
    x = 28,781,344.55/5,894.78
  6. Step 6: Final answer
    x = 4,882.52

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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.