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Finding the Fourth Proportional to 3,502.96, 4,834.06 and 1,909.70

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Solution

The fourth proportional to 3,502.96, 4,834.06 and 1,909.70 is: 2,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.96 : 4,834.06 = 1,909.70 : x
  2. Step 2: Convert to fraction form
    3,502.96/4,834.06 = 1,909.70/x
  3. Step 3: Cross multiply
    3,502.96x = 4,834.06 × 1,909.70
  4. Step 4: Simplify right side
    3,502.96x = 9,231,604.38
  5. Step 5: Solve for x
    x = 9,231,604.38/3,502.96
  6. Step 6: Final answer
    x = 2,635.37

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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.