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Finding the Fourth Proportional to 3,484.71, 4,808.74 and 1,912.83

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Solution

The fourth proportional to 3,484.71, 4,808.74 and 1,912.83 is: 2,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.71 : 4,808.74 = 1,912.83 : x
  2. Step 2: Convert to fraction form
    3,484.71/4,808.74 = 1,912.83/x
  3. Step 3: Cross multiply
    3,484.71x = 4,808.74 × 1,912.83
  4. Step 4: Simplify right side
    3,484.71x = 9,198,302.13
  5. Step 5: Solve for x
    x = 9,198,302.13/3,484.71
  6. Step 6: Final answer
    x = 2,639.62

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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.