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Finding the Fourth Proportional to 3,478.58, 5,215.40 and 1,628.69

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Solution

The fourth proportional to 3,478.58, 5,215.40 and 1,628.69 is: 2,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.58 : 5,215.40 = 1,628.69 : x
  2. Step 2: Convert to fraction form
    3,478.58/5,215.40 = 1,628.69/x
  3. Step 3: Cross multiply
    3,478.58x = 5,215.40 × 1,628.69
  4. Step 4: Simplify right side
    3,478.58x = 8,494,241.71
  5. Step 5: Solve for x
    x = 8,494,241.71/3,478.58
  6. Step 6: Final answer
    x = 2,441.87

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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.