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Finding the Fourth Proportional to 5,759.16, 8,639.01 and 1,863.87

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Solution

The fourth proportional to 5,759.16, 8,639.01 and 1,863.87 is: 2,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.16 : 8,639.01 = 1,863.87 : x
  2. Step 2: Convert to fraction form
    5,759.16/8,639.01 = 1,863.87/x
  3. Step 3: Cross multiply
    5,759.16x = 8,639.01 × 1,863.87
  4. Step 4: Simplify right side
    5,759.16x = 16,101,991.57
  5. Step 5: Solve for x
    x = 16,101,991.57/5,759.16
  6. Step 6: Final answer
    x = 2,795.89

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Why These Related Problems?

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