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Finding the Fourth Proportional to 3,502.95, 4,834.03 and 1,909.59

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Solution

The fourth proportional to 3,502.95, 4,834.03 and 1,909.59 is: 2,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.95 : 4,834.03 = 1,909.59 : x
  2. Step 2: Convert to fraction form
    3,502.95/4,834.03 = 1,909.59/x
  3. Step 3: Cross multiply
    3,502.95x = 4,834.03 × 1,909.59
  4. Step 4: Simplify right side
    3,502.95x = 9,231,015.35
  5. Step 5: Solve for x
    x = 9,231,015.35/3,502.95
  6. Step 6: Final answer
    x = 2,635.22

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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.