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Finding the Fourth Proportional to 6,062.49, 9,092.70 and 1,678.92

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Solution

The fourth proportional to 6,062.49, 9,092.70 and 1,678.92 is: 2,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.49 : 9,092.70 = 1,678.92 : x
  2. Step 2: Convert to fraction form
    6,062.49/9,092.70 = 1,678.92/x
  3. Step 3: Cross multiply
    6,062.49x = 9,092.70 × 1,678.92
  4. Step 4: Simplify right side
    6,062.49x = 15,265,915.88
  5. Step 5: Solve for x
    x = 15,265,915.88/6,062.49
  6. Step 6: Final answer
    x = 2,518.09

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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.