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Finding the Fourth Proportional to 4,077.99, 6,117.39 and 3,800.16

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Solution

The fourth proportional to 4,077.99, 6,117.39 and 3,800.16 is: 5,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.99 : 6,117.39 = 3,800.16 : x
  2. Step 2: Convert to fraction form
    4,077.99/6,117.39 = 3,800.16/x
  3. Step 3: Cross multiply
    4,077.99x = 6,117.39 × 3,800.16
  4. Step 4: Simplify right side
    4,077.99x = 23,247,060.78
  5. Step 5: Solve for x
    x = 23,247,060.78/4,077.99
  6. Step 6: Final answer
    x = 5,700.62

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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.