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Finding the Fourth Proportional to 5,221, 7,204.98 and 3,361.24

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Solution

The fourth proportional to 5,221, 7,204.98 and 3,361.24 is: 4,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221 : 7,204.98 = 3,361.24 : x
  2. Step 2: Convert to fraction form
    5,221/7,204.98 = 3,361.24/x
  3. Step 3: Cross multiply
    5,221x = 7,204.98 × 3,361.24
  4. Step 4: Simplify right side
    5,221x = 24,217,666.98
  5. Step 5: Solve for x
    x = 24,217,666.98/5,221
  6. Step 6: Final answer
    x = 4,638.51

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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.