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Finding the Fourth Proportional to 3,708.81, 5,118.12 and 2,030.24

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Solution

The fourth proportional to 3,708.81, 5,118.12 and 2,030.24 is: 2,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.81 : 5,118.12 = 2,030.24 : x
  2. Step 2: Convert to fraction form
    3,708.81/5,118.12 = 2,030.24/x
  3. Step 3: Cross multiply
    3,708.81x = 5,118.12 × 2,030.24
  4. Step 4: Simplify right side
    3,708.81x = 10,391,024.74
  5. Step 5: Solve for x
    x = 10,391,024.74/3,708.81
  6. Step 6: Final answer
    x = 2,801.71

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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.