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Finding the Fourth Proportional to 3,232.39, 4,847.98 and 891.82

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Solution

The fourth proportional to 3,232.39, 4,847.98 and 891.82 is: 1,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.39 : 4,847.98 = 891.82 : x
  2. Step 2: Convert to fraction form
    3,232.39/4,847.98 = 891.82/x
  3. Step 3: Cross multiply
    3,232.39x = 4,847.98 × 891.82
  4. Step 4: Simplify right side
    3,232.39x = 4,323,525.52
  5. Step 5: Solve for x
    x = 4,323,525.52/3,232.39
  6. Step 6: Final answer
    x = 1,337.56

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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.