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Finding the Fourth Proportional to 5,708, 7,878.12 and 3,224

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Solution

The fourth proportional to 5,708, 7,878.12 and 3,224 is: 4,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708 : 7,878.12 = 3,224 : x
  2. Step 2: Convert to fraction form
    5,708/7,878.12 = 3,224/x
  3. Step 3: Cross multiply
    5,708x = 7,878.12 × 3,224
  4. Step 4: Simplify right side
    5,708x = 25,399,058.88
  5. Step 5: Solve for x
    x = 25,399,058.88/5,708
  6. Step 6: Final answer
    x = 4,449.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.