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Finding the Fourth Proportional to 3,694.96, 5,099.88 and 2,516.50

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Solution

The fourth proportional to 3,694.96, 5,099.88 and 2,516.50 is: 3,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.96 : 5,099.88 = 2,516.50 : x
  2. Step 2: Convert to fraction form
    3,694.96/5,099.88 = 2,516.50/x
  3. Step 3: Cross multiply
    3,694.96x = 5,099.88 × 2,516.50
  4. Step 4: Simplify right side
    3,694.96x = 12,833,848.02
  5. Step 5: Solve for x
    x = 12,833,848.02/3,694.96
  6. Step 6: Final answer
    x = 3,473.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.