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Finding the Fourth Proportional to 3,739.71, 5,160.50 and 2,061.06

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Solution

The fourth proportional to 3,739.71, 5,160.50 and 2,061.06 is: 2,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.71 : 5,160.50 = 2,061.06 : x
  2. Step 2: Convert to fraction form
    3,739.71/5,160.50 = 2,061.06/x
  3. Step 3: Cross multiply
    3,739.71x = 5,160.50 × 2,061.06
  4. Step 4: Simplify right side
    3,739.71x = 10,636,089.82
  5. Step 5: Solve for x
    x = 10,636,089.82/3,739.71
  6. Step 6: Final answer
    x = 2,844.09

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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.