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Finding the Fourth Proportional to 3,809.32, 5,712.56 and 1,309.80

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Solution

The fourth proportional to 3,809.32, 5,712.56 and 1,309.80 is: 1,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.32 : 5,712.56 = 1,309.80 : x
  2. Step 2: Convert to fraction form
    3,809.32/5,712.56 = 1,309.80/x
  3. Step 3: Cross multiply
    3,809.32x = 5,712.56 × 1,309.80
  4. Step 4: Simplify right side
    3,809.32x = 7,482,289.70
  5. Step 5: Solve for x
    x = 7,482,289.70/3,809.32
  6. Step 6: Final answer
    x = 1,964.21

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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.