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Finding the Fourth Proportional to 3,228.90, 4,843.22 and 1,038.12

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Solution

The fourth proportional to 3,228.90, 4,843.22 and 1,038.12 is: 1,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.90 : 4,843.22 = 1,038.12 : x
  2. Step 2: Convert to fraction form
    3,228.90/4,843.22 = 1,038.12/x
  3. Step 3: Cross multiply
    3,228.90x = 4,843.22 × 1,038.12
  4. Step 4: Simplify right side
    3,228.90x = 5,027,838.36
  5. Step 5: Solve for x
    x = 5,027,838.36/3,228.90
  6. Step 6: Final answer
    x = 1,557.14

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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.