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Finding the Fourth Proportional to 3,716.28, 5,570.76 and 2,399.24

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Solution

The fourth proportional to 3,716.28, 5,570.76 and 2,399.24 is: 3,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.28 : 5,570.76 = 2,399.24 : x
  2. Step 2: Convert to fraction form
    3,716.28/5,570.76 = 2,399.24/x
  3. Step 3: Cross multiply
    3,716.28x = 5,570.76 × 2,399.24
  4. Step 4: Simplify right side
    3,716.28x = 13,365,590.22
  5. Step 5: Solve for x
    x = 13,365,590.22/3,716.28
  6. Step 6: Final answer
    x = 3,596.50

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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.