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Finding the Fourth Proportional to 3,874.70, 5,814.30 and 2,318.51

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Solution

The fourth proportional to 3,874.70, 5,814.30 and 2,318.51 is: 3,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.70 : 5,814.30 = 2,318.51 : x
  2. Step 2: Convert to fraction form
    3,874.70/5,814.30 = 2,318.51/x
  3. Step 3: Cross multiply
    3,874.70x = 5,814.30 × 2,318.51
  4. Step 4: Simplify right side
    3,874.70x = 13,480,512.69
  5. Step 5: Solve for x
    x = 13,480,512.69/3,874.70
  6. Step 6: Final answer
    x = 3,479.11

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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.