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Finding the Fourth Proportional to 4,164.15, 6,244.16 and 1,389.86

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Solution

The fourth proportional to 4,164.15, 6,244.16 and 1,389.86 is: 2,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.15 : 6,244.16 = 1,389.86 : x
  2. Step 2: Convert to fraction form
    4,164.15/6,244.16 = 1,389.86/x
  3. Step 3: Cross multiply
    4,164.15x = 6,244.16 × 1,389.86
  4. Step 4: Simplify right side
    4,164.15x = 8,678,470.05
  5. Step 5: Solve for x
    x = 8,678,470.05/4,164.15
  6. Step 6: Final answer
    x = 2,084.09

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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.