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Finding the Fourth Proportional to 6,164.31, 8,498.61 and 4,548.36

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Solution

The fourth proportional to 6,164.31, 8,498.61 and 4,548.36 is: 6,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.31 : 8,498.61 = 4,548.36 : x
  2. Step 2: Convert to fraction form
    6,164.31/8,498.61 = 4,548.36/x
  3. Step 3: Cross multiply
    6,164.31x = 8,498.61 × 4,548.36
  4. Step 4: Simplify right side
    6,164.31x = 38,654,737.78
  5. Step 5: Solve for x
    x = 38,654,737.78/6,164.31
  6. Step 6: Final answer
    x = 6,270.73

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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.