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Finding the Fourth Proportional to 5,245.11, 7,867.98 and 1,349.46

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Solution

The fourth proportional to 5,245.11, 7,867.98 and 1,349.46 is: 2,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.11 : 7,867.98 = 1,349.46 : x
  2. Step 2: Convert to fraction form
    5,245.11/7,867.98 = 1,349.46/x
  3. Step 3: Cross multiply
    5,245.11x = 7,867.98 × 1,349.46
  4. Step 4: Simplify right side
    5,245.11x = 10,617,524.29
  5. Step 5: Solve for x
    x = 10,617,524.29/5,245.11
  6. Step 6: Final answer
    x = 2,024.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.