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Finding the Fourth Proportional to 3,809.31, 5,710.52 and 1,343.69

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Solution

The fourth proportional to 3,809.31, 5,710.52 and 1,343.69 is: 2,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.31 : 5,710.52 = 1,343.69 : x
  2. Step 2: Convert to fraction form
    3,809.31/5,710.52 = 1,343.69/x
  3. Step 3: Cross multiply
    3,809.31x = 5,710.52 × 1,343.69
  4. Step 4: Simplify right side
    3,809.31x = 7,673,140.07
  5. Step 5: Solve for x
    x = 7,673,140.07/3,809.31
  6. Step 6: Final answer
    x = 2,014.31

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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.