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Finding the Fourth Proportional to 5,003.32, 6,891.78 and 4,162.36

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Solution

The fourth proportional to 5,003.32, 6,891.78 and 4,162.36 is: 5,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.32 : 6,891.78 = 4,162.36 : x
  2. Step 2: Convert to fraction form
    5,003.32/6,891.78 = 4,162.36/x
  3. Step 3: Cross multiply
    5,003.32x = 6,891.78 × 4,162.36
  4. Step 4: Simplify right side
    5,003.32x = 28,686,069.40
  5. Step 5: Solve for x
    x = 28,686,069.40/5,003.32
  6. Step 6: Final answer
    x = 5,733.41

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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.