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Finding the Fourth Proportional to 4,000.50, 5,976.47 and 3,344.40

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Solution

The fourth proportional to 4,000.50, 5,976.47 and 3,344.40 is: 4,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.50 : 5,976.47 = 3,344.40 : x
  2. Step 2: Convert to fraction form
    4,000.50/5,976.47 = 3,344.40/x
  3. Step 3: Cross multiply
    4,000.50x = 5,976.47 × 3,344.40
  4. Step 4: Simplify right side
    4,000.50x = 19,987,714.63
  5. Step 5: Solve for x
    x = 19,987,714.63/4,000.50
  6. Step 6: Final answer
    x = 4,996.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.