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Finding the Fourth Proportional to 5,334, 8,003.92 and 2,412.08

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Solution

The fourth proportional to 5,334, 8,003.92 and 2,412.08 is: 3,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334 : 8,003.92 = 2,412.08 : x
  2. Step 2: Convert to fraction form
    5,334/8,003.92 = 2,412.08/x
  3. Step 3: Cross multiply
    5,334x = 8,003.92 × 2,412.08
  4. Step 4: Simplify right side
    5,334x = 19,306,095.35
  5. Step 5: Solve for x
    x = 19,306,095.35/5,334
  6. Step 6: Final answer
    x = 3,619.44

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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.