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Finding the Fourth Proportional to 4,192.70, 6,292.65 and 1,856.30

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Solution

The fourth proportional to 4,192.70, 6,292.65 and 1,856.30 is: 2,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.70 : 6,292.65 = 1,856.30 : x
  2. Step 2: Convert to fraction form
    4,192.70/6,292.65 = 1,856.30/x
  3. Step 3: Cross multiply
    4,192.70x = 6,292.65 × 1,856.30
  4. Step 4: Simplify right side
    4,192.70x = 11,681,046.20
  5. Step 5: Solve for x
    x = 11,681,046.20/4,192.70
  6. Step 6: Final answer
    x = 2,786.04

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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.