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Finding the Fourth Proportional to 4,099.68, 6,150.21 and 1,288.70

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Solution

The fourth proportional to 4,099.68, 6,150.21 and 1,288.70 is: 1,933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.68 : 6,150.21 = 1,288.70 : x
  2. Step 2: Convert to fraction form
    4,099.68/6,150.21 = 1,288.70/x
  3. Step 3: Cross multiply
    4,099.68x = 6,150.21 × 1,288.70
  4. Step 4: Simplify right side
    4,099.68x = 7,925,744.88
  5. Step 5: Solve for x
    x = 7,925,744.88/4,099.68
  6. Step 6: Final answer
    x = 1,933.26

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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.