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Finding the Fourth Proportional to 4,708, 7,058.88 and 2,243.20

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Solution

The fourth proportional to 4,708, 7,058.88 and 2,243.20 is: 3,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708 : 7,058.88 = 2,243.20 : x
  2. Step 2: Convert to fraction form
    4,708/7,058.88 = 2,243.20/x
  3. Step 3: Cross multiply
    4,708x = 7,058.88 × 2,243.20
  4. Step 4: Simplify right side
    4,708x = 15,834,479.62
  5. Step 5: Solve for x
    x = 15,834,479.62/4,708
  6. Step 6: Final answer
    x = 3,363.31

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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.