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Finding the Fourth Proportional to 5,389.71, 8,084.98 and 1,440.89

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Solution

The fourth proportional to 5,389.71, 8,084.98 and 1,440.89 is: 2,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.71 : 8,084.98 = 1,440.89 : x
  2. Step 2: Convert to fraction form
    5,389.71/8,084.98 = 1,440.89/x
  3. Step 3: Cross multiply
    5,389.71x = 8,084.98 × 1,440.89
  4. Step 4: Simplify right side
    5,389.71x = 11,649,524.59
  5. Step 5: Solve for x
    x = 11,649,524.59/5,389.71
  6. Step 6: Final answer
    x = 2,161.44

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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.