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Finding the Fourth Proportional to 5,710.75, 7,880.66 and 3,192.86

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Solution

The fourth proportional to 5,710.75, 7,880.66 and 3,192.86 is: 4,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.75 : 7,880.66 = 3,192.86 : x
  2. Step 2: Convert to fraction form
    5,710.75/7,880.66 = 3,192.86/x
  3. Step 3: Cross multiply
    5,710.75x = 7,880.66 × 3,192.86
  4. Step 4: Simplify right side
    5,710.75x = 25,161,844.09
  5. Step 5: Solve for x
    x = 25,161,844.09/5,710.75
  6. Step 6: Final answer
    x = 4,406.05

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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.