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Finding the Fourth Proportional to 3,686.48, 5,083.16 and 3,394.80

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Solution

The fourth proportional to 3,686.48, 5,083.16 and 3,394.80 is: 4,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.48 : 5,083.16 = 3,394.80 : x
  2. Step 2: Convert to fraction form
    3,686.48/5,083.16 = 3,394.80/x
  3. Step 3: Cross multiply
    3,686.48x = 5,083.16 × 3,394.80
  4. Step 4: Simplify right side
    3,686.48x = 17,256,311.57
  5. Step 5: Solve for x
    x = 17,256,311.57/3,686.48
  6. Step 6: Final answer
    x = 4,680.97

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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.