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Finding the Fourth Proportional to 3,799.57, 5,699.28 and 1,202.51

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Solution

The fourth proportional to 3,799.57, 5,699.28 and 1,202.51 is: 1,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.57 : 5,699.28 = 1,202.51 : x
  2. Step 2: Convert to fraction form
    3,799.57/5,699.28 = 1,202.51/x
  3. Step 3: Cross multiply
    3,799.57x = 5,699.28 × 1,202.51
  4. Step 4: Simplify right side
    3,799.57x = 6,853,412.70
  5. Step 5: Solve for x
    x = 6,853,412.70/3,799.57
  6. Step 6: Final answer
    x = 1,803.74

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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.