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Finding the Fourth Proportional to 5,223.16, 7,203.24 and 3,456.52

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Solution

The fourth proportional to 5,223.16, 7,203.24 and 3,456.52 is: 4,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.16 : 7,203.24 = 3,456.52 : x
  2. Step 2: Convert to fraction form
    5,223.16/7,203.24 = 3,456.52/x
  3. Step 3: Cross multiply
    5,223.16x = 7,203.24 × 3,456.52
  4. Step 4: Simplify right side
    5,223.16x = 24,898,143.12
  5. Step 5: Solve for x
    x = 24,898,143.12/5,223.16
  6. Step 6: Final answer
    x = 4,766.87

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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.