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Finding the Fourth Proportional to 5,404.64, 8,102.97 and 2,116.04

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Solution

The fourth proportional to 5,404.64, 8,102.97 and 2,116.04 is: 3,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.64 : 8,102.97 = 2,116.04 : x
  2. Step 2: Convert to fraction form
    5,404.64/8,102.97 = 2,116.04/x
  3. Step 3: Cross multiply
    5,404.64x = 8,102.97 × 2,116.04
  4. Step 4: Simplify right side
    5,404.64x = 17,146,168.12
  5. Step 5: Solve for x
    x = 17,146,168.12/5,404.64
  6. Step 6: Final answer
    x = 3,172.49

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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.