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Finding the Fourth Proportional to 3,245.72, 4,864.01 and 1,856.97

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Solution

The fourth proportional to 3,245.72, 4,864.01 and 1,856.97 is: 2,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.72 : 4,864.01 = 1,856.97 : x
  2. Step 2: Convert to fraction form
    3,245.72/4,864.01 = 1,856.97/x
  3. Step 3: Cross multiply
    3,245.72x = 4,864.01 × 1,856.97
  4. Step 4: Simplify right side
    3,245.72x = 9,032,311.36
  5. Step 5: Solve for x
    x = 9,032,311.36/3,245.72
  6. Step 6: Final answer
    x = 2,782.84

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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.