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Finding the Fourth Proportional to 3,934.58, 5,428.18 and 2,255.07

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Solution

The fourth proportional to 3,934.58, 5,428.18 and 2,255.07 is: 3,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.58 : 5,428.18 = 2,255.07 : x
  2. Step 2: Convert to fraction form
    3,934.58/5,428.18 = 2,255.07/x
  3. Step 3: Cross multiply
    3,934.58x = 5,428.18 × 2,255.07
  4. Step 4: Simplify right side
    3,934.58x = 12,240,949.05
  5. Step 5: Solve for x
    x = 12,240,949.05/3,934.58
  6. Step 6: Final answer
    x = 3,111.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.