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Finding the Fourth Proportional to 5,810, 8,718.84 and 2,732.24

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Solution

The fourth proportional to 5,810, 8,718.84 and 2,732.24 is: 4,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810 : 8,718.84 = 2,732.24 : x
  2. Step 2: Convert to fraction form
    5,810/8,718.84 = 2,732.24/x
  3. Step 3: Cross multiply
    5,810x = 8,718.84 × 2,732.24
  4. Step 4: Simplify right side
    5,810x = 23,821,963.40
  5. Step 5: Solve for x
    x = 23,821,963.40/5,810
  6. Step 6: Final answer
    x = 4,100.17

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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.