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Finding the Fourth Proportional to 3,805.64, 5,708.13 and 2,699.81

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Solution

The fourth proportional to 3,805.64, 5,708.13 and 2,699.81 is: 4,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.64 : 5,708.13 = 2,699.81 : x
  2. Step 2: Convert to fraction form
    3,805.64/5,708.13 = 2,699.81/x
  3. Step 3: Cross multiply
    3,805.64x = 5,708.13 × 2,699.81
  4. Step 4: Simplify right side
    3,805.64x = 15,410,866.46
  5. Step 5: Solve for x
    x = 15,410,866.46/3,805.64
  6. Step 6: Final answer
    x = 4,049.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.