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Finding the Fourth Proportional to 3,588.80, 5,377.44 and 3,012.80

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Solution

The fourth proportional to 3,588.80, 5,377.44 and 3,012.80 is: 4,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.80 : 5,377.44 = 3,012.80 : x
  2. Step 2: Convert to fraction form
    3,588.80/5,377.44 = 3,012.80/x
  3. Step 3: Cross multiply
    3,588.80x = 5,377.44 × 3,012.80
  4. Step 4: Simplify right side
    3,588.80x = 16,201,151.23
  5. Step 5: Solve for x
    x = 16,201,151.23/3,588.80
  6. Step 6: Final answer
    x = 4,514.36

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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.