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Finding the Fourth Proportional to 5,334.32, 8,001.94 and 1,824.18

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Solution

The fourth proportional to 5,334.32, 8,001.94 and 1,824.18 is: 2,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.32 : 8,001.94 = 1,824.18 : x
  2. Step 2: Convert to fraction form
    5,334.32/8,001.94 = 1,824.18/x
  3. Step 3: Cross multiply
    5,334.32x = 8,001.94 × 1,824.18
  4. Step 4: Simplify right side
    5,334.32x = 14,596,978.91
  5. Step 5: Solve for x
    x = 14,596,978.91/5,334.32
  6. Step 6: Final answer
    x = 2,736.43

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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.