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Finding the Fourth Proportional to 5,834.12, 8,045.70 and 5,250.92

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Solution

The fourth proportional to 5,834.12, 8,045.70 and 5,250.92 is: 7,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.12 : 8,045.70 = 5,250.92 : x
  2. Step 2: Convert to fraction form
    5,834.12/8,045.70 = 5,250.92/x
  3. Step 3: Cross multiply
    5,834.12x = 8,045.70 × 5,250.92
  4. Step 4: Simplify right side
    5,834.12x = 42,247,327.04
  5. Step 5: Solve for x
    x = 42,247,327.04/5,834.12
  6. Step 6: Final answer
    x = 7,241.42

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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.