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Finding the Fourth Proportional to 6,514.92, 8,993.70 and 3,719.88

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Solution

The fourth proportional to 6,514.92, 8,993.70 and 3,719.88 is: 5,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.92 : 8,993.70 = 3,719.88 : x
  2. Step 2: Convert to fraction form
    6,514.92/8,993.70 = 3,719.88/x
  3. Step 3: Cross multiply
    6,514.92x = 8,993.70 × 3,719.88
  4. Step 4: Simplify right side
    6,514.92x = 33,455,484.76
  5. Step 5: Solve for x
    x = 33,455,484.76/6,514.92
  6. Step 6: Final answer
    x = 5,135.21

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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.