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Finding the Fourth Proportional to 5,811.81, 8,696.19 and 3,473.10

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Solution

The fourth proportional to 5,811.81, 8,696.19 and 3,473.10 is: 5,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.81 : 8,696.19 = 3,473.10 : x
  2. Step 2: Convert to fraction form
    5,811.81/8,696.19 = 3,473.10/x
  3. Step 3: Cross multiply
    5,811.81x = 8,696.19 × 3,473.10
  4. Step 4: Simplify right side
    5,811.81x = 30,202,737.49
  5. Step 5: Solve for x
    x = 30,202,737.49/5,811.81
  6. Step 6: Final answer
    x = 5,196.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.