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Finding the Fourth Proportional to 4,008, 6,011.84 and 1,816.32

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Solution

The fourth proportional to 4,008, 6,011.84 and 1,816.32 is: 2,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008 : 6,011.84 = 1,816.32 : x
  2. Step 2: Convert to fraction form
    4,008/6,011.84 = 1,816.32/x
  3. Step 3: Cross multiply
    4,008x = 6,011.84 × 1,816.32
  4. Step 4: Simplify right side
    4,008x = 10,919,425.23
  5. Step 5: Solve for x
    x = 10,919,425.23/4,008
  6. Step 6: Final answer
    x = 2,724.41

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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.