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Finding the Fourth Proportional to 3,797.40, 5,240.76 and 2,304.96

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Solution

The fourth proportional to 3,797.40, 5,240.76 and 2,304.96 is: 3,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.40 : 5,240.76 = 2,304.96 : x
  2. Step 2: Convert to fraction form
    3,797.40/5,240.76 = 2,304.96/x
  3. Step 3: Cross multiply
    3,797.40x = 5,240.76 × 2,304.96
  4. Step 4: Simplify right side
    3,797.40x = 12,079,742.17
  5. Step 5: Solve for x
    x = 12,079,742.17/3,797.40
  6. Step 6: Final answer
    x = 3,181.06

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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.