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Finding the Fourth Proportional to 5,389.34, 8,084.03 and 1,493.46

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Solution

The fourth proportional to 5,389.34, 8,084.03 and 1,493.46 is: 2,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.34 : 8,084.03 = 1,493.46 : x
  2. Step 2: Convert to fraction form
    5,389.34/8,084.03 = 1,493.46/x
  3. Step 3: Cross multiply
    5,389.34x = 8,084.03 × 1,493.46
  4. Step 4: Simplify right side
    5,389.34x = 12,073,167.98
  5. Step 5: Solve for x
    x = 12,073,167.98/5,389.34
  6. Step 6: Final answer
    x = 2,240.20

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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.