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Finding the Fourth Proportional to 5,071.64, 6,998.00 and 2,947.23

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Solution

The fourth proportional to 5,071.64, 6,998.00 and 2,947.23 is: 4,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.64 : 6,998.00 = 2,947.23 : x
  2. Step 2: Convert to fraction form
    5,071.64/6,998.00 = 2,947.23/x
  3. Step 3: Cross multiply
    5,071.64x = 6,998.00 × 2,947.23
  4. Step 4: Simplify right side
    5,071.64x = 20,624,700.80
  5. Step 5: Solve for x
    x = 20,624,700.80/5,071.64
  6. Step 6: Final answer
    x = 4,066.68

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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.