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Finding the Fourth Proportional to 4,553.85, 6,284.61 and 2,564.22

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Solution

The fourth proportional to 4,553.85, 6,284.61 and 2,564.22 is: 3,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.85 : 6,284.61 = 2,564.22 : x
  2. Step 2: Convert to fraction form
    4,553.85/6,284.61 = 2,564.22/x
  3. Step 3: Cross multiply
    4,553.85x = 6,284.61 × 2,564.22
  4. Step 4: Simplify right side
    4,553.85x = 16,115,122.65
  5. Step 5: Solve for x
    x = 16,115,122.65/4,553.85
  6. Step 6: Final answer
    x = 3,538.79

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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.