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Finding the Fourth Proportional to 5,741.46, 7,926.23 and 3,862.92

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Solution

The fourth proportional to 5,741.46, 7,926.23 and 3,862.92 is: 5,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.46 : 7,926.23 = 3,862.92 : x
  2. Step 2: Convert to fraction form
    5,741.46/7,926.23 = 3,862.92/x
  3. Step 3: Cross multiply
    5,741.46x = 7,926.23 × 3,862.92
  4. Step 4: Simplify right side
    5,741.46x = 30,618,373.08
  5. Step 5: Solve for x
    x = 30,618,373.08/5,741.46
  6. Step 6: Final answer
    x = 5,332.85

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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.