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Finding the Fourth Proportional to 3,138.73, 4,708.10 and 1,406.14

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Solution

The fourth proportional to 3,138.73, 4,708.10 and 1,406.14 is: 2,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.73 : 4,708.10 = 1,406.14 : x
  2. Step 2: Convert to fraction form
    3,138.73/4,708.10 = 1,406.14/x
  3. Step 3: Cross multiply
    3,138.73x = 4,708.10 × 1,406.14
  4. Step 4: Simplify right side
    3,138.73x = 6,620,247.73
  5. Step 5: Solve for x
    x = 6,620,247.73/3,138.73
  6. Step 6: Final answer
    x = 2,109.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.