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Finding the Fourth Proportional to 3,909.09, 5,863.67 and 1,135.95

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Solution

The fourth proportional to 3,909.09, 5,863.67 and 1,135.95 is: 1,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.09 : 5,863.67 = 1,135.95 : x
  2. Step 2: Convert to fraction form
    3,909.09/5,863.67 = 1,135.95/x
  3. Step 3: Cross multiply
    3,909.09x = 5,863.67 × 1,135.95
  4. Step 4: Simplify right side
    3,909.09x = 6,660,830.26
  5. Step 5: Solve for x
    x = 6,660,830.26/3,909.09
  6. Step 6: Final answer
    x = 1,703.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.