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Finding the Fourth Proportional to 5,222.34, 7,203.13 and 3,456.34

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Solution

The fourth proportional to 5,222.34, 7,203.13 and 3,456.34 is: 4,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.34 : 7,203.13 = 3,456.34 : x
  2. Step 2: Convert to fraction form
    5,222.34/7,203.13 = 3,456.34/x
  3. Step 3: Cross multiply
    5,222.34x = 7,203.13 × 3,456.34
  4. Step 4: Simplify right side
    5,222.34x = 24,896,439.70
  5. Step 5: Solve for x
    x = 24,896,439.70/5,222.34
  6. Step 6: Final answer
    x = 4,767.30

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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.