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Finding the Fourth Proportional to 3,610.16, 4,982.68 and 3,019.76

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Solution

The fourth proportional to 3,610.16, 4,982.68 and 3,019.76 is: 4,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.16 : 4,982.68 = 3,019.76 : x
  2. Step 2: Convert to fraction form
    3,610.16/4,982.68 = 3,019.76/x
  3. Step 3: Cross multiply
    3,610.16x = 4,982.68 × 3,019.76
  4. Step 4: Simplify right side
    3,610.16x = 15,046,497.76
  5. Step 5: Solve for x
    x = 15,046,497.76/3,610.16
  6. Step 6: Final answer
    x = 4,167.82

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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.