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Finding the Fourth Proportional to 4,119.70, 6,182.02 and 3,784.71

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Solution

The fourth proportional to 4,119.70, 6,182.02 and 3,784.71 is: 5,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.70 : 6,182.02 = 3,784.71 : x
  2. Step 2: Convert to fraction form
    4,119.70/6,182.02 = 3,784.71/x
  3. Step 3: Cross multiply
    4,119.70x = 6,182.02 × 3,784.71
  4. Step 4: Simplify right side
    4,119.70x = 23,397,152.91
  5. Step 5: Solve for x
    x = 23,397,152.91/4,119.70
  6. Step 6: Final answer
    x = 5,679.33

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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.