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Finding the Fourth Proportional to 5,234.25, 7,221.04 and 4,434.18

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Solution

The fourth proportional to 5,234.25, 7,221.04 and 4,434.18 is: 6,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.25 : 7,221.04 = 4,434.18 : x
  2. Step 2: Convert to fraction form
    5,234.25/7,221.04 = 4,434.18/x
  3. Step 3: Cross multiply
    5,234.25x = 7,221.04 × 4,434.18
  4. Step 4: Simplify right side
    5,234.25x = 32,019,391.15
  5. Step 5: Solve for x
    x = 32,019,391.15/5,234.25
  6. Step 6: Final answer
    x = 6,117.28

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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.