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Finding the Fourth Proportional to 5,116.64, 7,672 and 2,516.32

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Solution

The fourth proportional to 5,116.64, 7,672 and 2,516.32 is: 3,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.64 : 7,672 = 2,516.32 : x
  2. Step 2: Convert to fraction form
    5,116.64/7,672 = 2,516.32/x
  3. Step 3: Cross multiply
    5,116.64x = 7,672 × 2,516.32
  4. Step 4: Simplify right side
    5,116.64x = 19,305,207.04
  5. Step 5: Solve for x
    x = 19,305,207.04/5,116.64
  6. Step 6: Final answer
    x = 3,773.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.