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Finding the Fourth Proportional to 5,989.12, 8,984.02 and 1,829.76

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Solution

The fourth proportional to 5,989.12, 8,984.02 and 1,829.76 is: 2,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.12 : 8,984.02 = 1,829.76 : x
  2. Step 2: Convert to fraction form
    5,989.12/8,984.02 = 1,829.76/x
  3. Step 3: Cross multiply
    5,989.12x = 8,984.02 × 1,829.76
  4. Step 4: Simplify right side
    5,989.12x = 16,438,600.44
  5. Step 5: Solve for x
    x = 16,438,600.44/5,989.12
  6. Step 6: Final answer
    x = 2,744.74

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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.