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Finding the Fourth Proportional to 5,899.52, 8,840.09 and 2,200.75

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Solution

The fourth proportional to 5,899.52, 8,840.09 and 2,200.75 is: 3,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.52 : 8,840.09 = 2,200.75 : x
  2. Step 2: Convert to fraction form
    5,899.52/8,840.09 = 2,200.75/x
  3. Step 3: Cross multiply
    5,899.52x = 8,840.09 × 2,200.75
  4. Step 4: Simplify right side
    5,899.52x = 19,454,828.07
  5. Step 5: Solve for x
    x = 19,454,828.07/5,899.52
  6. Step 6: Final answer
    x = 3,297.70

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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.