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Finding the Fourth Proportional to 5,998.38, 8,277.84 and 3,346.02

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Solution

The fourth proportional to 5,998.38, 8,277.84 and 3,346.02 is: 4,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.38 : 8,277.84 = 3,346.02 : x
  2. Step 2: Convert to fraction form
    5,998.38/8,277.84 = 3,346.02/x
  3. Step 3: Cross multiply
    5,998.38x = 8,277.84 × 3,346.02
  4. Step 4: Simplify right side
    5,998.38x = 27,697,818.20
  5. Step 5: Solve for x
    x = 27,697,818.20/5,998.38
  6. Step 6: Final answer
    x = 4,617.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.