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Finding the Fourth Proportional to 3,806.40, 5,710.52 and 1,209.36

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Solution

The fourth proportional to 3,806.40, 5,710.52 and 1,209.36 is: 1,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.40 : 5,710.52 = 1,209.36 : x
  2. Step 2: Convert to fraction form
    3,806.40/5,710.52 = 1,209.36/x
  3. Step 3: Cross multiply
    3,806.40x = 5,710.52 × 1,209.36
  4. Step 4: Simplify right side
    3,806.40x = 6,906,074.47
  5. Step 5: Solve for x
    x = 6,906,074.47/3,806.40
  6. Step 6: Final answer
    x = 1,814.33

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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.