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Finding the Fourth Proportional to 5,397.40, 8,086.78 and 4,213.78

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Solution

The fourth proportional to 5,397.40, 8,086.78 and 4,213.78 is: 6,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.40 : 8,086.78 = 4,213.78 : x
  2. Step 2: Convert to fraction form
    5,397.40/8,086.78 = 4,213.78/x
  3. Step 3: Cross multiply
    5,397.40x = 8,086.78 × 4,213.78
  4. Step 4: Simplify right side
    5,397.40x = 34,075,911.83
  5. Step 5: Solve for x
    x = 34,075,911.83/5,397.40
  6. Step 6: Final answer
    x = 6,313.39

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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.