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Finding the Fourth Proportional to 5,005.90, 6,908.10 and 2,767.84

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Solution

The fourth proportional to 5,005.90, 6,908.10 and 2,767.84 is: 3,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.90 : 6,908.10 = 2,767.84 : x
  2. Step 2: Convert to fraction form
    5,005.90/6,908.10 = 2,767.84/x
  3. Step 3: Cross multiply
    5,005.90x = 6,908.10 × 2,767.84
  4. Step 4: Simplify right side
    5,005.90x = 19,120,515.50
  5. Step 5: Solve for x
    x = 19,120,515.50/5,005.90
  6. Step 6: Final answer
    x = 3,819.60

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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.