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Finding the Fourth Proportional to 3,799.40, 5,699.40 and 1,202.56

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Solution

The fourth proportional to 3,799.40, 5,699.40 and 1,202.56 is: 1,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.40 : 5,699.40 = 1,202.56 : x
  2. Step 2: Convert to fraction form
    3,799.40/5,699.40 = 1,202.56/x
  3. Step 3: Cross multiply
    3,799.40x = 5,699.40 × 1,202.56
  4. Step 4: Simplify right side
    3,799.40x = 6,853,870.46
  5. Step 5: Solve for x
    x = 6,853,870.46/3,799.40
  6. Step 6: Final answer
    x = 1,803.93

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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.