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Finding the Fourth Proportional to 3,709.74, 5,119.40 and 2,031.11

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Solution

The fourth proportional to 3,709.74, 5,119.40 and 2,031.11 is: 2,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.74 : 5,119.40 = 2,031.11 : x
  2. Step 2: Convert to fraction form
    3,709.74/5,119.40 = 2,031.11/x
  3. Step 3: Cross multiply
    3,709.74x = 5,119.40 × 2,031.11
  4. Step 4: Simplify right side
    3,709.74x = 10,398,064.53
  5. Step 5: Solve for x
    x = 10,398,064.53/3,709.74
  6. Step 6: Final answer
    x = 2,802.91

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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.