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Finding the Fourth Proportional to 3,502.97, 4,833.96 and 1,909.57

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Solution

The fourth proportional to 3,502.97, 4,833.96 and 1,909.57 is: 2,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.97 : 4,833.96 = 1,909.57 : x
  2. Step 2: Convert to fraction form
    3,502.97/4,833.96 = 1,909.57/x
  3. Step 3: Cross multiply
    3,502.97x = 4,833.96 × 1,909.57
  4. Step 4: Simplify right side
    3,502.97x = 9,230,785.00
  5. Step 5: Solve for x
    x = 9,230,785.00/3,502.97
  6. Step 6: Final answer
    x = 2,635.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.