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Finding the Fourth Proportional to 5,006.45, 6,908.80 and 2,768.42

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Solution

The fourth proportional to 5,006.45, 6,908.80 and 2,768.42 is: 3,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.45 : 6,908.80 = 2,768.42 : x
  2. Step 2: Convert to fraction form
    5,006.45/6,908.80 = 2,768.42/x
  3. Step 3: Cross multiply
    5,006.45x = 6,908.80 × 2,768.42
  4. Step 4: Simplify right side
    5,006.45x = 19,126,460.10
  5. Step 5: Solve for x
    x = 19,126,460.10/5,006.45
  6. Step 6: Final answer
    x = 3,820.36

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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.