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Finding the Fourth Proportional to 3,238.25, 4,856.15 and 1,046.39

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Solution

The fourth proportional to 3,238.25, 4,856.15 and 1,046.39 is: 1,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.25 : 4,856.15 = 1,046.39 : x
  2. Step 2: Convert to fraction form
    3,238.25/4,856.15 = 1,046.39/x
  3. Step 3: Cross multiply
    3,238.25x = 4,856.15 × 1,046.39
  4. Step 4: Simplify right side
    3,238.25x = 5,081,405.13
  5. Step 5: Solve for x
    x = 5,081,405.13/3,238.25
  6. Step 6: Final answer
    x = 1,569.18

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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.