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Finding the Fourth Proportional to 8,532.44, 12,795.84 and 2,984.52

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Solution

The fourth proportional to 8,532.44, 12,795.84 and 2,984.52 is: 4,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.44 : 12,795.84 = 2,984.52 : x
  2. Step 2: Convert to fraction form
    8,532.44/12,795.84 = 2,984.52/x
  3. Step 3: Cross multiply
    8,532.44x = 12,795.84 × 2,984.52
  4. Step 4: Simplify right side
    8,532.44x = 38,189,440.40
  5. Step 5: Solve for x
    x = 38,189,440.40/8,532.44
  6. Step 6: Final answer
    x = 4,475.79

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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.