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Finding the Fourth Proportional to 5,464.21, 8,202.81 and 5,241.41

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Solution

The fourth proportional to 5,464.21, 8,202.81 and 5,241.41 is: 7,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.21 : 8,202.81 = 5,241.41 : x
  2. Step 2: Convert to fraction form
    5,464.21/8,202.81 = 5,241.41/x
  3. Step 3: Cross multiply
    5,464.21x = 8,202.81 × 5,241.41
  4. Step 4: Simplify right side
    5,464.21x = 42,994,290.36
  5. Step 5: Solve for x
    x = 42,994,290.36/5,464.21
  6. Step 6: Final answer
    x = 7,868.35

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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.