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Finding the Fourth Proportional to 3,753.84, 5,625.84 and 2,519.36

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Solution

The fourth proportional to 3,753.84, 5,625.84 and 2,519.36 is: 3,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.84 : 5,625.84 = 2,519.36 : x
  2. Step 2: Convert to fraction form
    3,753.84/5,625.84 = 2,519.36/x
  3. Step 3: Cross multiply
    3,753.84x = 5,625.84 × 2,519.36
  4. Step 4: Simplify right side
    3,753.84x = 14,173,516.26
  5. Step 5: Solve for x
    x = 14,173,516.26/3,753.84
  6. Step 6: Final answer
    x = 3,775.74

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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.