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Finding the Fourth Proportional to 3,680.10, 5,519.98 and 906.79

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Solution

The fourth proportional to 3,680.10, 5,519.98 and 906.79 is: 1,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.10 : 5,519.98 = 906.79 : x
  2. Step 2: Convert to fraction form
    3,680.10/5,519.98 = 906.79/x
  3. Step 3: Cross multiply
    3,680.10x = 5,519.98 × 906.79
  4. Step 4: Simplify right side
    3,680.10x = 5,005,462.66
  5. Step 5: Solve for x
    x = 5,005,462.66/3,680.10
  6. Step 6: Final answer
    x = 1,360.14

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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.