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Finding the Fourth Proportional to 5,821.48, 8,724.48 and 2,899

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Solution

The fourth proportional to 5,821.48, 8,724.48 and 2,899 is: 4,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.48 : 8,724.48 = 2,899 : x
  2. Step 2: Convert to fraction form
    5,821.48/8,724.48 = 2,899/x
  3. Step 3: Cross multiply
    5,821.48x = 8,724.48 × 2,899
  4. Step 4: Simplify right side
    5,821.48x = 25,292,267.52
  5. Step 5: Solve for x
    x = 25,292,267.52/5,821.48
  6. Step 6: Final answer
    x = 4,344.65

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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.