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Finding the Fourth Proportional to 3,440.98, 5,161.48 and 976.06

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Solution

The fourth proportional to 3,440.98, 5,161.48 and 976.06 is: 1,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.98 : 5,161.48 = 976.06 : x
  2. Step 2: Convert to fraction form
    3,440.98/5,161.48 = 976.06/x
  3. Step 3: Cross multiply
    3,440.98x = 5,161.48 × 976.06
  4. Step 4: Simplify right side
    3,440.98x = 5,037,914.17
  5. Step 5: Solve for x
    x = 5,037,914.17/3,440.98
  6. Step 6: Final answer
    x = 1,464.09

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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.