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Finding the Fourth Proportional to 4,555.65, 6,286.83 and 2,566.25

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Solution

The fourth proportional to 4,555.65, 6,286.83 and 2,566.25 is: 3,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.65 : 6,286.83 = 2,566.25 : x
  2. Step 2: Convert to fraction form
    4,555.65/6,286.83 = 2,566.25/x
  3. Step 3: Cross multiply
    4,555.65x = 6,286.83 × 2,566.25
  4. Step 4: Simplify right side
    4,555.65x = 16,133,546.05
  5. Step 5: Solve for x
    x = 16,133,546.05/4,555.65
  6. Step 6: Final answer
    x = 3,541.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.