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Finding the Fourth Proportional to 3,437.90, 4,743.25 and 2,110.76

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Solution

The fourth proportional to 3,437.90, 4,743.25 and 2,110.76 is: 2,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.90 : 4,743.25 = 2,110.76 : x
  2. Step 2: Convert to fraction form
    3,437.90/4,743.25 = 2,110.76/x
  3. Step 3: Cross multiply
    3,437.90x = 4,743.25 × 2,110.76
  4. Step 4: Simplify right side
    3,437.90x = 10,011,833.38
  5. Step 5: Solve for x
    x = 10,011,833.38/3,437.90
  6. Step 6: Final answer
    x = 2,912.20

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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.