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Finding the Fourth Proportional to 5,006.88, 6,909.36 and 2,768.80

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Solution

The fourth proportional to 5,006.88, 6,909.36 and 2,768.80 is: 3,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.88 : 6,909.36 = 2,768.80 : x
  2. Step 2: Convert to fraction form
    5,006.88/6,909.36 = 2,768.80/x
  3. Step 3: Cross multiply
    5,006.88x = 6,909.36 × 2,768.80
  4. Step 4: Simplify right side
    5,006.88x = 19,130,635.97
  5. Step 5: Solve for x
    x = 19,130,635.97/5,006.88
  6. Step 6: Final answer
    x = 3,820.87

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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.