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Finding the Fourth Proportional to 5,874.74, 8,107.52 and 3,881.81

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Solution

The fourth proportional to 5,874.74, 8,107.52 and 3,881.81 is: 5,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.74 : 8,107.52 = 3,881.81 : x
  2. Step 2: Convert to fraction form
    5,874.74/8,107.52 = 3,881.81/x
  3. Step 3: Cross multiply
    5,874.74x = 8,107.52 × 3,881.81
  4. Step 4: Simplify right side
    5,874.74x = 31,471,792.26
  5. Step 5: Solve for x
    x = 31,471,792.26/5,874.74
  6. Step 6: Final answer
    x = 5,357.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.