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Finding the Fourth Proportional to 4,150.89, 6,219.05 and 3,698.91

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Solution

The fourth proportional to 4,150.89, 6,219.05 and 3,698.91 is: 5,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.89 : 6,219.05 = 3,698.91 : x
  2. Step 2: Convert to fraction form
    4,150.89/6,219.05 = 3,698.91/x
  3. Step 3: Cross multiply
    4,150.89x = 6,219.05 × 3,698.91
  4. Step 4: Simplify right side
    4,150.89x = 23,003,687.74
  5. Step 5: Solve for x
    x = 23,003,687.74/4,150.89
  6. Step 6: Final answer
    x = 5,541.87

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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.