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Finding the Fourth Proportional to 3,460.40, 5,189.52 and 2,000.24

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Solution

The fourth proportional to 3,460.40, 5,189.52 and 2,000.24 is: 2,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.40 : 5,189.52 = 2,000.24 : x
  2. Step 2: Convert to fraction form
    3,460.40/5,189.52 = 2,000.24/x
  3. Step 3: Cross multiply
    3,460.40x = 5,189.52 × 2,000.24
  4. Step 4: Simplify right side
    3,460.40x = 10,380,285.48
  5. Step 5: Solve for x
    x = 10,380,285.48/3,460.40
  6. Step 6: Final answer
    x = 2,999.74

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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.