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Finding the Fourth Proportional to 5,914.83, 8,857.10 and 5,739.65

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Solution

The fourth proportional to 5,914.83, 8,857.10 and 5,739.65 is: 8,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.83 : 8,857.10 = 5,739.65 : x
  2. Step 2: Convert to fraction form
    5,914.83/8,857.10 = 5,739.65/x
  3. Step 3: Cross multiply
    5,914.83x = 8,857.10 × 5,739.65
  4. Step 4: Simplify right side
    5,914.83x = 50,836,581.03
  5. Step 5: Solve for x
    x = 50,836,581.03/5,914.83
  6. Step 6: Final answer
    x = 8,594.77

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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.