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Finding the Fourth Proportional to 3,137.13, 4,709.34 and 2,444.58

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Solution

The fourth proportional to 3,137.13, 4,709.34 and 2,444.58 is: 3,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.13 : 4,709.34 = 2,444.58 : x
  2. Step 2: Convert to fraction form
    3,137.13/4,709.34 = 2,444.58/x
  3. Step 3: Cross multiply
    3,137.13x = 4,709.34 × 2,444.58
  4. Step 4: Simplify right side
    3,137.13x = 11,512,358.38
  5. Step 5: Solve for x
    x = 11,512,358.38/3,137.13
  6. Step 6: Final answer
    x = 3,669.71

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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.