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Finding the Fourth Proportional to 3,502.74, 4,834.25 and 2,010.36

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Solution

The fourth proportional to 3,502.74, 4,834.25 and 2,010.36 is: 2,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.74 : 4,834.25 = 2,010.36 : x
  2. Step 2: Convert to fraction form
    3,502.74/4,834.25 = 2,010.36/x
  3. Step 3: Cross multiply
    3,502.74x = 4,834.25 × 2,010.36
  4. Step 4: Simplify right side
    3,502.74x = 9,718,572.78
  5. Step 5: Solve for x
    x = 9,718,572.78/3,502.74
  6. Step 6: Final answer
    x = 2,774.56

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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.