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Finding the Fourth Proportional to 5,204.52, 7,180.47 and 3,215.52

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Solution

The fourth proportional to 5,204.52, 7,180.47 and 3,215.52 is: 4,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.52 : 7,180.47 = 3,215.52 : x
  2. Step 2: Convert to fraction form
    5,204.52/7,180.47 = 3,215.52/x
  3. Step 3: Cross multiply
    5,204.52x = 7,180.47 × 3,215.52
  4. Step 4: Simplify right side
    5,204.52x = 23,088,944.89
  5. Step 5: Solve for x
    x = 23,088,944.89/5,204.52
  6. Step 6: Final answer
    x = 4,436.33

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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.