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Finding the Fourth Proportional to 5,711.93, 7,880.68 and 3,193.69

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Solution

The fourth proportional to 5,711.93, 7,880.68 and 3,193.69 is: 4,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.93 : 7,880.68 = 3,193.69 : x
  2. Step 2: Convert to fraction form
    5,711.93/7,880.68 = 3,193.69/x
  3. Step 3: Cross multiply
    5,711.93x = 7,880.68 × 3,193.69
  4. Step 4: Simplify right side
    5,711.93x = 25,168,448.91
  5. Step 5: Solve for x
    x = 25,168,448.91/5,711.93
  6. Step 6: Final answer
    x = 4,406.30

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