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Finding the Fourth Proportional to 3,989.52, 5,984.12 and 1,393.04

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Solution

The fourth proportional to 3,989.52, 5,984.12 and 1,393.04 is: 2,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.52 : 5,984.12 = 1,393.04 : x
  2. Step 2: Convert to fraction form
    3,989.52/5,984.12 = 1,393.04/x
  3. Step 3: Cross multiply
    3,989.52x = 5,984.12 × 1,393.04
  4. Step 4: Simplify right side
    3,989.52x = 8,336,118.52
  5. Step 5: Solve for x
    x = 8,336,118.52/3,989.52
  6. Step 6: Final answer
    x = 2,089.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.