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Finding the Fourth Proportional to 5,233.60, 7,220.82 and 4,348

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Solution

The fourth proportional to 5,233.60, 7,220.82 and 4,348 is: 5,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.60 : 7,220.82 = 4,348 : x
  2. Step 2: Convert to fraction form
    5,233.60/7,220.82 = 4,348/x
  3. Step 3: Cross multiply
    5,233.60x = 7,220.82 × 4,348
  4. Step 4: Simplify right side
    5,233.60x = 31,396,125.36
  5. Step 5: Solve for x
    x = 31,396,125.36/5,233.60
  6. Step 6: Final answer
    x = 5,998.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.