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Finding the Fourth Proportional to 3,204.39, 4,806.63 and 1,355.28

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Solution

The fourth proportional to 3,204.39, 4,806.63 and 1,355.28 is: 2,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.39 : 4,806.63 = 1,355.28 : x
  2. Step 2: Convert to fraction form
    3,204.39/4,806.63 = 1,355.28/x
  3. Step 3: Cross multiply
    3,204.39x = 4,806.63 × 1,355.28
  4. Step 4: Simplify right side
    3,204.39x = 6,514,305.47
  5. Step 5: Solve for x
    x = 6,514,305.47/3,204.39
  6. Step 6: Final answer
    x = 2,032.93

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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.