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Finding the Fourth Proportional to 3,484.89, 4,807.97 and 1,991.74

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Solution

The fourth proportional to 3,484.89, 4,807.97 and 1,991.74 is: 2,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.89 : 4,807.97 = 1,991.74 : x
  2. Step 2: Convert to fraction form
    3,484.89/4,807.97 = 1,991.74/x
  3. Step 3: Cross multiply
    3,484.89x = 4,807.97 × 1,991.74
  4. Step 4: Simplify right side
    3,484.89x = 9,576,226.17
  5. Step 5: Solve for x
    x = 9,576,226.17/3,484.89
  6. Step 6: Final answer
    x = 2,747.93

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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.