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Finding the Fourth Proportional to 5,803.81, 8,015.86 and 3,912.13

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Solution

The fourth proportional to 5,803.81, 8,015.86 and 3,912.13 is: 5,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.81 : 8,015.86 = 3,912.13 : x
  2. Step 2: Convert to fraction form
    5,803.81/8,015.86 = 3,912.13/x
  3. Step 3: Cross multiply
    5,803.81x = 8,015.86 × 3,912.13
  4. Step 4: Simplify right side
    5,803.81x = 31,359,086.38
  5. Step 5: Solve for x
    x = 31,359,086.38/5,803.81
  6. Step 6: Final answer
    x = 5,403.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.