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Finding the Fourth Proportional to 3,443, 4,763.85 and 3,001.82

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Solution

The fourth proportional to 3,443, 4,763.85 and 3,001.82 is: 4,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443 : 4,763.85 = 3,001.82 : x
  2. Step 2: Convert to fraction form
    3,443/4,763.85 = 3,001.82/x
  3. Step 3: Cross multiply
    3,443x = 4,763.85 × 3,001.82
  4. Step 4: Simplify right side
    3,443x = 14,300,220.21
  5. Step 5: Solve for x
    x = 14,300,220.21/3,443
  6. Step 6: Final answer
    x = 4,153.42

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1.5x scale

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.