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Finding the Fourth Proportional to 3,799.66, 5,701.54 and 1,851.87

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Solution

The fourth proportional to 3,799.66, 5,701.54 and 1,851.87 is: 2,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.66 : 5,701.54 = 1,851.87 : x
  2. Step 2: Convert to fraction form
    3,799.66/5,701.54 = 1,851.87/x
  3. Step 3: Cross multiply
    3,799.66x = 5,701.54 × 1,851.87
  4. Step 4: Simplify right side
    3,799.66x = 10,558,473.11
  5. Step 5: Solve for x
    x = 10,558,473.11/3,799.66
  6. Step 6: Final answer
    x = 2,778.79

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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.