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Finding the Fourth Proportional to 3,799.10, 5,698.65 and 1,609.67

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Solution

The fourth proportional to 3,799.10, 5,698.65 and 1,609.67 is: 2,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.10 : 5,698.65 = 1,609.67 : x
  2. Step 2: Convert to fraction form
    3,799.10/5,698.65 = 1,609.67/x
  3. Step 3: Cross multiply
    3,799.10x = 5,698.65 × 1,609.67
  4. Step 4: Simplify right side
    3,799.10x = 9,172,966.23
  5. Step 5: Solve for x
    x = 9,172,966.23/3,799.10
  6. Step 6: Final answer
    x = 2,414.51

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