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Finding the Fourth Proportional to 5,093.32, 7,029.78 and 3,229

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Solution

The fourth proportional to 5,093.32, 7,029.78 and 3,229 is: 4,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.32 : 7,029.78 = 3,229 : x
  2. Step 2: Convert to fraction form
    5,093.32/7,029.78 = 3,229/x
  3. Step 3: Cross multiply
    5,093.32x = 7,029.78 × 3,229
  4. Step 4: Simplify right side
    5,093.32x = 22,699,159.62
  5. Step 5: Solve for x
    x = 22,699,159.62/5,093.32
  6. Step 6: Final answer
    x = 4,456.65

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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.