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Finding the Fourth Proportional to 6,092.50, 9,158.34 and 5,659.20

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Solution

The fourth proportional to 6,092.50, 9,158.34 and 5,659.20 is: 8,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.50 : 9,158.34 = 5,659.20 : x
  2. Step 2: Convert to fraction form
    6,092.50/9,158.34 = 5,659.20/x
  3. Step 3: Cross multiply
    6,092.50x = 9,158.34 × 5,659.20
  4. Step 4: Simplify right side
    6,092.50x = 51,828,877.73
  5. Step 5: Solve for x
    x = 51,828,877.73/6,092.50
  6. Step 6: Final answer
    x = 8,507.00

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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.