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Finding the Fourth Proportional to 3,448.46, 4,758.96 and 1,876.64

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Solution

The fourth proportional to 3,448.46, 4,758.96 and 1,876.64 is: 2,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.46 : 4,758.96 = 1,876.64 : x
  2. Step 2: Convert to fraction form
    3,448.46/4,758.96 = 1,876.64/x
  3. Step 3: Cross multiply
    3,448.46x = 4,758.96 × 1,876.64
  4. Step 4: Simplify right side
    3,448.46x = 8,930,854.69
  5. Step 5: Solve for x
    x = 8,930,854.69/3,448.46
  6. Step 6: Final answer
    x = 2,589.81

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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.