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Finding the Fourth Proportional to 3,709.34, 5,118.74 and 2,030.71

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Solution

The fourth proportional to 3,709.34, 5,118.74 and 2,030.71 is: 2,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.34 : 5,118.74 = 2,030.71 : x
  2. Step 2: Convert to fraction form
    3,709.34/5,118.74 = 2,030.71/x
  3. Step 3: Cross multiply
    3,709.34x = 5,118.74 × 2,030.71
  4. Step 4: Simplify right side
    3,709.34x = 10,394,640.76
  5. Step 5: Solve for x
    x = 10,394,640.76/3,709.34
  6. Step 6: Final answer
    x = 2,802.29

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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.