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Finding the Fourth Proportional to 5,787.92, 7,987.19 and 3,270.02

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Solution

The fourth proportional to 5,787.92, 7,987.19 and 3,270.02 is: 4,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.92 : 7,987.19 = 3,270.02 : x
  2. Step 2: Convert to fraction form
    5,787.92/7,987.19 = 3,270.02/x
  3. Step 3: Cross multiply
    5,787.92x = 7,987.19 × 3,270.02
  4. Step 4: Simplify right side
    5,787.92x = 26,118,214.76
  5. Step 5: Solve for x
    x = 26,118,214.76/5,787.92
  6. Step 6: Final answer
    x = 4,512.54

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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.