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Finding the Fourth Proportional to 4,119.31, 5,687.31 and 3,698.92

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Solution

The fourth proportional to 4,119.31, 5,687.31 and 3,698.92 is: 5,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.31 : 5,687.31 = 3,698.92 : x
  2. Step 2: Convert to fraction form
    4,119.31/5,687.31 = 3,698.92/x
  3. Step 3: Cross multiply
    4,119.31x = 5,687.31 × 3,698.92
  4. Step 4: Simplify right side
    4,119.31x = 21,036,904.71
  5. Step 5: Solve for x
    x = 21,036,904.71/4,119.31
  6. Step 6: Final answer
    x = 5,106.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.