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Finding the Fourth Proportional to 3,610.47, 4,982.47 and 1,954.47

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Solution

The fourth proportional to 3,610.47, 4,982.47 and 1,954.47 is: 2,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.47 : 4,982.47 = 1,954.47 : x
  2. Step 2: Convert to fraction form
    3,610.47/4,982.47 = 1,954.47/x
  3. Step 3: Cross multiply
    3,610.47x = 4,982.47 × 1,954.47
  4. Step 4: Simplify right side
    3,610.47x = 9,738,088.14
  5. Step 5: Solve for x
    x = 9,738,088.14/3,610.47
  6. Step 6: Final answer
    x = 2,697.18

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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.