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Finding the Fourth Proportional to 3,488.16, 5,231.99 and 1,639.70

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Solution

The fourth proportional to 3,488.16, 5,231.99 and 1,639.70 is: 2,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.16 : 5,231.99 = 1,639.70 : x
  2. Step 2: Convert to fraction form
    3,488.16/5,231.99 = 1,639.70/x
  3. Step 3: Cross multiply
    3,488.16x = 5,231.99 × 1,639.70
  4. Step 4: Simplify right side
    3,488.16x = 8,578,859.64
  5. Step 5: Solve for x
    x = 8,578,859.64/3,488.16
  6. Step 6: Final answer
    x = 2,459.42

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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.