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Finding the Fourth Proportional to 5,356.62, 8,051.31 and 5,241.78

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Solution

The fourth proportional to 5,356.62, 8,051.31 and 5,241.78 is: 7,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.62 : 8,051.31 = 5,241.78 : x
  2. Step 2: Convert to fraction form
    5,356.62/8,051.31 = 5,241.78/x
  3. Step 3: Cross multiply
    5,356.62x = 8,051.31 × 5,241.78
  4. Step 4: Simplify right side
    5,356.62x = 42,203,195.73
  5. Step 5: Solve for x
    x = 42,203,195.73/5,356.62
  6. Step 6: Final answer
    x = 7,878.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.