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Finding the Fourth Proportional to 5,713.22, 8,546.88 and 5,122.46

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Solution

The fourth proportional to 5,713.22, 8,546.88 and 5,122.46 is: 7,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.22 : 8,546.88 = 5,122.46 : x
  2. Step 2: Convert to fraction form
    5,713.22/8,546.88 = 5,122.46/x
  3. Step 3: Cross multiply
    5,713.22x = 8,546.88 × 5,122.46
  4. Step 4: Simplify right side
    5,713.22x = 43,781,050.92
  5. Step 5: Solve for x
    x = 43,781,050.92/5,713.22
  6. Step 6: Final answer
    x = 7,663.11

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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.