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Finding the Fourth Proportional to 3,499.12, 5,247 and 1,856.44

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Solution

The fourth proportional to 3,499.12, 5,247 and 1,856.44 is: 2,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.12 : 5,247 = 1,856.44 : x
  2. Step 2: Convert to fraction form
    3,499.12/5,247 = 1,856.44/x
  3. Step 3: Cross multiply
    3,499.12x = 5,247 × 1,856.44
  4. Step 4: Simplify right side
    3,499.12x = 9,740,740.68
  5. Step 5: Solve for x
    x = 9,740,740.68/3,499.12
  6. Step 6: Final answer
    x = 2,783.77

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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.