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Finding the Fourth Proportional to 5,772.25, 8,659.13 and 2,074.89

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Solution

The fourth proportional to 5,772.25, 8,659.13 and 2,074.89 is: 3,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.25 : 8,659.13 = 2,074.89 : x
  2. Step 2: Convert to fraction form
    5,772.25/8,659.13 = 2,074.89/x
  3. Step 3: Cross multiply
    5,772.25x = 8,659.13 × 2,074.89
  4. Step 4: Simplify right side
    5,772.25x = 17,966,742.25
  5. Step 5: Solve for x
    x = 17,966,742.25/5,772.25
  6. Step 6: Final answer
    x = 3,112.61

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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.