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Finding the Fourth Proportional to 5,947.74, 8,922.21 and 2,051.23

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Solution

The fourth proportional to 5,947.74, 8,922.21 and 2,051.23 is: 3,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.74 : 8,922.21 = 2,051.23 : x
  2. Step 2: Convert to fraction form
    5,947.74/8,922.21 = 2,051.23/x
  3. Step 3: Cross multiply
    5,947.74x = 8,922.21 × 2,051.23
  4. Step 4: Simplify right side
    5,947.74x = 18,301,504.82
  5. Step 5: Solve for x
    x = 18,301,504.82/5,947.74
  6. Step 6: Final answer
    x = 3,077.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.