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Finding the Fourth Proportional to 3,642.44, 5,026.82 and 2,049.26

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Solution

The fourth proportional to 3,642.44, 5,026.82 and 2,049.26 is: 2,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.44 : 5,026.82 = 2,049.26 : x
  2. Step 2: Convert to fraction form
    3,642.44/5,026.82 = 2,049.26/x
  3. Step 3: Cross multiply
    3,642.44x = 5,026.82 × 2,049.26
  4. Step 4: Simplify right side
    3,642.44x = 10,301,225.77
  5. Step 5: Solve for x
    x = 10,301,225.77/3,642.44
  6. Step 6: Final answer
    x = 2,828.12

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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.