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Finding the Fourth Proportional to 3,647.80, 5,032.20 and 3,150.28

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Solution

The fourth proportional to 3,647.80, 5,032.20 and 3,150.28 is: 4,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.80 : 5,032.20 = 3,150.28 : x
  2. Step 2: Convert to fraction form
    3,647.80/5,032.20 = 3,150.28/x
  3. Step 3: Cross multiply
    3,647.80x = 5,032.20 × 3,150.28
  4. Step 4: Simplify right side
    3,647.80x = 15,852,839.02
  5. Step 5: Solve for x
    x = 15,852,839.02/3,647.80
  6. Step 6: Final answer
    x = 4,345.86

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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.