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Finding the Fourth Proportional to 3,566.48, 5,349.94 and 1,375.22

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Solution

The fourth proportional to 3,566.48, 5,349.94 and 1,375.22 is: 2,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.48 : 5,349.94 = 1,375.22 : x
  2. Step 2: Convert to fraction form
    3,566.48/5,349.94 = 1,375.22/x
  3. Step 3: Cross multiply
    3,566.48x = 5,349.94 × 1,375.22
  4. Step 4: Simplify right side
    3,566.48x = 7,357,344.49
  5. Step 5: Solve for x
    x = 7,357,344.49/3,566.48
  6. Step 6: Final answer
    x = 2,062.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.