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Finding the Fourth Proportional to 5,865.65, 8,792.31 and 2,165.52

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Solution

The fourth proportional to 5,865.65, 8,792.31 and 2,165.52 is: 3,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.65 : 8,792.31 = 2,165.52 : x
  2. Step 2: Convert to fraction form
    5,865.65/8,792.31 = 2,165.52/x
  3. Step 3: Cross multiply
    5,865.65x = 8,792.31 × 2,165.52
  4. Step 4: Simplify right side
    5,865.65x = 19,039,923.15
  5. Step 5: Solve for x
    x = 19,039,923.15/5,865.65
  6. Step 6: Final answer
    x = 3,246.00

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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.