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Finding the Fourth Proportional to 3,691.98, 5,094.45 and 2,276.40

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Solution

The fourth proportional to 3,691.98, 5,094.45 and 2,276.40 is: 3,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.98 : 5,094.45 = 2,276.40 : x
  2. Step 2: Convert to fraction form
    3,691.98/5,094.45 = 2,276.40/x
  3. Step 3: Cross multiply
    3,691.98x = 5,094.45 × 2,276.40
  4. Step 4: Simplify right side
    3,691.98x = 11,597,005.98
  5. Step 5: Solve for x
    x = 11,597,005.98/3,691.98
  6. Step 6: Final answer
    x = 3,141.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.