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Finding the Fourth Proportional to 5,921.52, 8,206.26 and 5,838

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Solution

The fourth proportional to 5,921.52, 8,206.26 and 5,838 is: 8,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.52 : 8,206.26 = 5,838 : x
  2. Step 2: Convert to fraction form
    5,921.52/8,206.26 = 5,838/x
  3. Step 3: Cross multiply
    5,921.52x = 8,206.26 × 5,838
  4. Step 4: Simplify right side
    5,921.52x = 47,908,145.88
  5. Step 5: Solve for x
    x = 47,908,145.88/5,921.52
  6. Step 6: Final answer
    x = 8,090.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.