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Finding the Fourth Proportional to 3,976.49, 5,962.70 and 1,509.43

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Solution

The fourth proportional to 3,976.49, 5,962.70 and 1,509.43 is: 2,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.49 : 5,962.70 = 1,509.43 : x
  2. Step 2: Convert to fraction form
    3,976.49/5,962.70 = 1,509.43/x
  3. Step 3: Cross multiply
    3,976.49x = 5,962.70 × 1,509.43
  4. Step 4: Simplify right side
    3,976.49x = 9,000,267.13
  5. Step 5: Solve for x
    x = 9,000,267.13/3,976.49
  6. Step 6: Final answer
    x = 2,263.37

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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.