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Finding the Fourth Proportional to 3,762.12, 5,196.78 and 3,062.28

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Solution

The fourth proportional to 3,762.12, 5,196.78 and 3,062.28 is: 4,230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.12 : 5,196.78 = 3,062.28 : x
  2. Step 2: Convert to fraction form
    3,762.12/5,196.78 = 3,062.28/x
  3. Step 3: Cross multiply
    3,762.12x = 5,196.78 × 3,062.28
  4. Step 4: Simplify right side
    3,762.12x = 15,913,995.46
  5. Step 5: Solve for x
    x = 15,913,995.46/3,762.12
  6. Step 6: Final answer
    x = 4,230.06

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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.