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Finding the Fourth Proportional to 3,403.92, 4,697.31 and 2,077.38

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Solution

The fourth proportional to 3,403.92, 4,697.31 and 2,077.38 is: 2,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.92 : 4,697.31 = 2,077.38 : x
  2. Step 2: Convert to fraction form
    3,403.92/4,697.31 = 2,077.38/x
  3. Step 3: Cross multiply
    3,403.92x = 4,697.31 × 2,077.38
  4. Step 4: Simplify right side
    3,403.92x = 9,758,097.85
  5. Step 5: Solve for x
    x = 9,758,097.85/3,403.92
  6. Step 6: Final answer
    x = 2,866.72

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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.