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Finding the Fourth Proportional to 3,226, 4,451.52 and 2,047.36

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Solution

The fourth proportional to 3,226, 4,451.52 and 2,047.36 is: 2,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226 : 4,451.52 = 2,047.36 : x
  2. Step 2: Convert to fraction form
    3,226/4,451.52 = 2,047.36/x
  3. Step 3: Cross multiply
    3,226x = 4,451.52 × 2,047.36
  4. Step 4: Simplify right side
    3,226x = 9,113,863.99
  5. Step 5: Solve for x
    x = 9,113,863.99/3,226
  6. Step 6: Final answer
    x = 2,825.13

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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.