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Finding the Fourth Proportional to 5,179.84, 7,148.12 and 2,822

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Solution

The fourth proportional to 5,179.84, 7,148.12 and 2,822 is: 3,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.84 : 7,148.12 = 2,822 : x
  2. Step 2: Convert to fraction form
    5,179.84/7,148.12 = 2,822/x
  3. Step 3: Cross multiply
    5,179.84x = 7,148.12 × 2,822
  4. Step 4: Simplify right side
    5,179.84x = 20,171,994.64
  5. Step 5: Solve for x
    x = 20,171,994.64/5,179.84
  6. Step 6: Final answer
    x = 3,894.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.