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Finding the Fourth Proportional to 3,202.02, 4,803.21 and 1,471.86

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Solution

The fourth proportional to 3,202.02, 4,803.21 and 1,471.86 is: 2,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.02 : 4,803.21 = 1,471.86 : x
  2. Step 2: Convert to fraction form
    3,202.02/4,803.21 = 1,471.86/x
  3. Step 3: Cross multiply
    3,202.02x = 4,803.21 × 1,471.86
  4. Step 4: Simplify right side
    3,202.02x = 7,069,652.67
  5. Step 5: Solve for x
    x = 7,069,652.67/3,202.02
  6. Step 6: Final answer
    x = 2,207.87

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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.