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Finding the Fourth Proportional to 5,947.74, 8,922.22 and 2,051.24

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Solution

The fourth proportional to 5,947.74, 8,922.22 and 2,051.24 is: 3,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.74 : 8,922.22 = 2,051.24 : x
  2. Step 2: Convert to fraction form
    5,947.74/8,922.22 = 2,051.24/x
  3. Step 3: Cross multiply
    5,947.74x = 8,922.22 × 2,051.24
  4. Step 4: Simplify right side
    5,947.74x = 18,301,614.55
  5. Step 5: Solve for x
    x = 18,301,614.55/5,947.74
  6. Step 6: Final answer
    x = 3,077.07

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Why These Related Problems?

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