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Finding the Fourth Proportional to 5,758.68, 8,639.26 and 1,863.02

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Solution

The fourth proportional to 5,758.68, 8,639.26 and 1,863.02 is: 2,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.68 : 8,639.26 = 1,863.02 : x
  2. Step 2: Convert to fraction form
    5,758.68/8,639.26 = 1,863.02/x
  3. Step 3: Cross multiply
    5,758.68x = 8,639.26 × 1,863.02
  4. Step 4: Simplify right side
    5,758.68x = 16,095,114.17
  5. Step 5: Solve for x
    x = 16,095,114.17/5,758.68
  6. Step 6: Final answer
    x = 2,794.93

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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.