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Finding the Fourth Proportional to 3,846.64, 5,306.52 and 2,519.76

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Solution

The fourth proportional to 3,846.64, 5,306.52 and 2,519.76 is: 3,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.64 : 5,306.52 = 2,519.76 : x
  2. Step 2: Convert to fraction form
    3,846.64/5,306.52 = 2,519.76/x
  3. Step 3: Cross multiply
    3,846.64x = 5,306.52 × 2,519.76
  4. Step 4: Simplify right side
    3,846.64x = 13,371,156.84
  5. Step 5: Solve for x
    x = 13,371,156.84/3,846.64
  6. Step 6: Final answer
    x = 3,476.06

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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.