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Finding the Fourth Proportional to 3,579.64, 5,367.54 and 2,347

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Solution

The fourth proportional to 3,579.64, 5,367.54 and 2,347 is: 3,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.64 : 5,367.54 = 2,347 : x
  2. Step 2: Convert to fraction form
    3,579.64/5,367.54 = 2,347/x
  3. Step 3: Cross multiply
    3,579.64x = 5,367.54 × 2,347
  4. Step 4: Simplify right side
    3,579.64x = 12,597,616.38
  5. Step 5: Solve for x
    x = 12,597,616.38/3,579.64
  6. Step 6: Final answer
    x = 3,519.24

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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.