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Finding the Fourth Proportional to 3,974.01, 5,488.54 and 2,712.84

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Solution

The fourth proportional to 3,974.01, 5,488.54 and 2,712.84 is: 3,746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.01 : 5,488.54 = 2,712.84 : x
  2. Step 2: Convert to fraction form
    3,974.01/5,488.54 = 2,712.84/x
  3. Step 3: Cross multiply
    3,974.01x = 5,488.54 × 2,712.84
  4. Step 4: Simplify right side
    3,974.01x = 14,889,530.85
  5. Step 5: Solve for x
    x = 14,889,530.85/3,974.01
  6. Step 6: Final answer
    x = 3,746.73

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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.