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Finding the Fourth Proportional to 4,493.92, 6,765.14 and 4,041.82

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Solution

The fourth proportional to 4,493.92, 6,765.14 and 4,041.82 is: 6,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.92 : 6,765.14 = 4,041.82 : x
  2. Step 2: Convert to fraction form
    4,493.92/6,765.14 = 4,041.82/x
  3. Step 3: Cross multiply
    4,493.92x = 6,765.14 × 4,041.82
  4. Step 4: Simplify right side
    4,493.92x = 27,343,478.15
  5. Step 5: Solve for x
    x = 27,343,478.15/4,493.92
  6. Step 6: Final answer
    x = 6,084.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.