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Finding the Fourth Proportional to 6,489.08, 9,725.16 and 2,977.82

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Solution

The fourth proportional to 6,489.08, 9,725.16 and 2,977.82 is: 4,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.08 : 9,725.16 = 2,977.82 : x
  2. Step 2: Convert to fraction form
    6,489.08/9,725.16 = 2,977.82/x
  3. Step 3: Cross multiply
    6,489.08x = 9,725.16 × 2,977.82
  4. Step 4: Simplify right side
    6,489.08x = 28,959,775.95
  5. Step 5: Solve for x
    x = 28,959,775.95/6,489.08
  6. Step 6: Final answer
    x = 4,462.85

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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.