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Finding the Fourth Proportional to 5,571.66, 7,684.29 and 3,891.01

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Solution

The fourth proportional to 5,571.66, 7,684.29 and 3,891.01 is: 5,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.66 : 7,684.29 = 3,891.01 : x
  2. Step 2: Convert to fraction form
    5,571.66/7,684.29 = 3,891.01/x
  3. Step 3: Cross multiply
    5,571.66x = 7,684.29 × 3,891.01
  4. Step 4: Simplify right side
    5,571.66x = 29,899,649.23
  5. Step 5: Solve for x
    x = 29,899,649.23/5,571.66
  6. Step 6: Final answer
    x = 5,366.38

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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.