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Finding the Fourth Proportional to 3,230.01, 4,843.11 and 2,311.47

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Solution

The fourth proportional to 3,230.01, 4,843.11 and 2,311.47 is: 3,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.01 : 4,843.11 = 2,311.47 : x
  2. Step 2: Convert to fraction form
    3,230.01/4,843.11 = 2,311.47/x
  3. Step 3: Cross multiply
    3,230.01x = 4,843.11 × 2,311.47
  4. Step 4: Simplify right side
    3,230.01x = 11,194,703.47
  5. Step 5: Solve for x
    x = 11,194,703.47/3,230.01
  6. Step 6: Final answer
    x = 3,465.84

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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.