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Finding the Fourth Proportional to 3,566.58, 5,349.09 and 2,593.14

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Solution

The fourth proportional to 3,566.58, 5,349.09 and 2,593.14 is: 3,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.58 : 5,349.09 = 2,593.14 : x
  2. Step 2: Convert to fraction form
    3,566.58/5,349.09 = 2,593.14/x
  3. Step 3: Cross multiply
    3,566.58x = 5,349.09 × 2,593.14
  4. Step 4: Simplify right side
    3,566.58x = 13,870,939.24
  5. Step 5: Solve for x
    x = 13,870,939.24/3,566.58
  6. Step 6: Final answer
    x = 3,889.14

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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.