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Finding the Fourth Proportional to 4,099.85, 6,151.78 and 1,759.16

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Solution

The fourth proportional to 4,099.85, 6,151.78 and 1,759.16 is: 2,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.85 : 6,151.78 = 1,759.16 : x
  2. Step 2: Convert to fraction form
    4,099.85/6,151.78 = 1,759.16/x
  3. Step 3: Cross multiply
    4,099.85x = 6,151.78 × 1,759.16
  4. Step 4: Simplify right side
    4,099.85x = 10,821,925.75
  5. Step 5: Solve for x
    x = 10,821,925.75/4,099.85
  6. Step 6: Final answer
    x = 2,639.59

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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.