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Finding the Fourth Proportional to 3,809.74, 5,711.02 and 1,342.98

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Solution

The fourth proportional to 3,809.74, 5,711.02 and 1,342.98 is: 2,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.74 : 5,711.02 = 1,342.98 : x
  2. Step 2: Convert to fraction form
    3,809.74/5,711.02 = 1,342.98/x
  3. Step 3: Cross multiply
    3,809.74x = 5,711.02 × 1,342.98
  4. Step 4: Simplify right side
    3,809.74x = 7,669,782.28
  5. Step 5: Solve for x
    x = 7,669,782.28/3,809.74
  6. Step 6: Final answer
    x = 2,013.20

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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.