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Finding the Fourth Proportional to 3,648.36, 5,472.02 and 2,083.28

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Solution

The fourth proportional to 3,648.36, 5,472.02 and 2,083.28 is: 3,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.36 : 5,472.02 = 2,083.28 : x
  2. Step 2: Convert to fraction form
    3,648.36/5,472.02 = 2,083.28/x
  3. Step 3: Cross multiply
    3,648.36x = 5,472.02 × 2,083.28
  4. Step 4: Simplify right side
    3,648.36x = 11,399,768.71
  5. Step 5: Solve for x
    x = 11,399,768.71/3,648.36
  6. Step 6: Final answer
    x = 3,124.63

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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.