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Finding the Fourth Proportional to 3,691.49, 5,094.23 and 2,119.64

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Solution

The fourth proportional to 3,691.49, 5,094.23 and 2,119.64 is: 2,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.49 : 5,094.23 = 2,119.64 : x
  2. Step 2: Convert to fraction form
    3,691.49/5,094.23 = 2,119.64/x
  3. Step 3: Cross multiply
    3,691.49x = 5,094.23 × 2,119.64
  4. Step 4: Simplify right side
    3,691.49x = 10,797,897.61
  5. Step 5: Solve for x
    x = 10,797,897.61/3,691.49
  6. Step 6: Final answer
    x = 2,925.08

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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.