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Finding the Fourth Proportional to 5,261.68, 7,230.22 and 4,211.92

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Solution

The fourth proportional to 5,261.68, 7,230.22 and 4,211.92 is: 5,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.68 : 7,230.22 = 4,211.92 : x
  2. Step 2: Convert to fraction form
    5,261.68/7,230.22 = 4,211.92/x
  3. Step 3: Cross multiply
    5,261.68x = 7,230.22 × 4,211.92
  4. Step 4: Simplify right side
    5,261.68x = 30,453,108.22
  5. Step 5: Solve for x
    x = 30,453,108.22/5,261.68
  6. Step 6: Final answer
    x = 5,787.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.