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Finding the Fourth Proportional to 4,803.71, 7,198.27 and 3,565.32

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Solution

The fourth proportional to 4,803.71, 7,198.27 and 3,565.32 is: 5,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.71 : 7,198.27 = 3,565.32 : x
  2. Step 2: Convert to fraction form
    4,803.71/7,198.27 = 3,565.32/x
  3. Step 3: Cross multiply
    4,803.71x = 7,198.27 × 3,565.32
  4. Step 4: Simplify right side
    4,803.71x = 25,664,100.09
  5. Step 5: Solve for x
    x = 25,664,100.09/4,803.71
  6. Step 6: Final answer
    x = 5,342.56

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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.