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Finding the Fourth Proportional to 5,053.44, 7,581.12 and 2,864.64

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Solution

The fourth proportional to 5,053.44, 7,581.12 and 2,864.64 is: 4,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.44 : 7,581.12 = 2,864.64 : x
  2. Step 2: Convert to fraction form
    5,053.44/7,581.12 = 2,864.64/x
  3. Step 3: Cross multiply
    5,053.44x = 7,581.12 × 2,864.64
  4. Step 4: Simplify right side
    5,053.44x = 21,717,179.60
  5. Step 5: Solve for x
    x = 21,717,179.60/5,053.44
  6. Step 6: Final answer
    x = 4,297.50

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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.