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Finding the Fourth Proportional to 5,149.58, 7,724.90 and 2,228.18

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Solution

The fourth proportional to 5,149.58, 7,724.90 and 2,228.18 is: 3,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.58 : 7,724.90 = 2,228.18 : x
  2. Step 2: Convert to fraction form
    5,149.58/7,724.90 = 2,228.18/x
  3. Step 3: Cross multiply
    5,149.58x = 7,724.90 × 2,228.18
  4. Step 4: Simplify right side
    5,149.58x = 17,212,434.63
  5. Step 5: Solve for x
    x = 17,212,434.63/5,149.58
  6. Step 6: Final answer
    x = 3,342.50

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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.