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Finding the Fourth Proportional to 4,514.32, 6,806.32 and 4,486.24

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Solution

The fourth proportional to 4,514.32, 6,806.32 and 4,486.24 is: 6,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.32 : 6,806.32 = 4,486.24 : x
  2. Step 2: Convert to fraction form
    4,514.32/6,806.32 = 4,486.24/x
  3. Step 3: Cross multiply
    4,514.32x = 6,806.32 × 4,486.24
  4. Step 4: Simplify right side
    4,514.32x = 30,534,785.04
  5. Step 5: Solve for x
    x = 30,534,785.04/4,514.32
  6. Step 6: Final answer
    x = 6,763.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.