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Finding the Fourth Proportional to 4,514.16, 6,738.54 and 3,901.80

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Solution

The fourth proportional to 4,514.16, 6,738.54 and 3,901.80 is: 5,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.16 : 6,738.54 = 3,901.80 : x
  2. Step 2: Convert to fraction form
    4,514.16/6,738.54 = 3,901.80/x
  3. Step 3: Cross multiply
    4,514.16x = 6,738.54 × 3,901.80
  4. Step 4: Simplify right side
    4,514.16x = 26,292,435.37
  5. Step 5: Solve for x
    x = 26,292,435.37/4,514.16
  6. Step 6: Final answer
    x = 5,824.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.