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Finding the Fourth Proportional to 3,713.98, 5,571.14 and 2,069.28

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Solution

The fourth proportional to 3,713.98, 5,571.14 and 2,069.28 is: 3,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.98 : 5,571.14 = 2,069.28 : x
  2. Step 2: Convert to fraction form
    3,713.98/5,571.14 = 2,069.28/x
  3. Step 3: Cross multiply
    3,713.98x = 5,571.14 × 2,069.28
  4. Step 4: Simplify right side
    3,713.98x = 11,528,248.58
  5. Step 5: Solve for x
    x = 11,528,248.58/3,713.98
  6. Step 6: Final answer
    x = 3,104.01

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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.