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Finding the Fourth Proportional to 7,228.50, 10,843.83 and 2,612.58

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Solution

The fourth proportional to 7,228.50, 10,843.83 and 2,612.58 is: 3,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.50 : 10,843.83 = 2,612.58 : x
  2. Step 2: Convert to fraction form
    7,228.50/10,843.83 = 2,612.58/x
  3. Step 3: Cross multiply
    7,228.50x = 10,843.83 × 2,612.58
  4. Step 4: Simplify right side
    7,228.50x = 28,330,373.38
  5. Step 5: Solve for x
    x = 28,330,373.38/7,228.50
  6. Step 6: Final answer
    x = 3,919.26

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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.