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Finding the Fourth Proportional to 4,377.69, 6,574.37 and 4,201.52

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Solution

The fourth proportional to 4,377.69, 6,574.37 and 4,201.52 is: 6,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.69 : 6,574.37 = 4,201.52 : x
  2. Step 2: Convert to fraction form
    4,377.69/6,574.37 = 4,201.52/x
  3. Step 3: Cross multiply
    4,377.69x = 6,574.37 × 4,201.52
  4. Step 4: Simplify right side
    4,377.69x = 27,622,347.04
  5. Step 5: Solve for x
    x = 27,622,347.04/4,377.69
  6. Step 6: Final answer
    x = 6,309.80

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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.