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Finding the Fourth Proportional to 5,985.30, 8,997.39 and 5,956.14

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Solution

The fourth proportional to 5,985.30, 8,997.39 and 5,956.14 is: 8,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.30 : 8,997.39 = 5,956.14 : x
  2. Step 2: Convert to fraction form
    5,985.30/8,997.39 = 5,956.14/x
  3. Step 3: Cross multiply
    5,985.30x = 8,997.39 × 5,956.14
  4. Step 4: Simplify right side
    5,985.30x = 53,589,714.47
  5. Step 5: Solve for x
    x = 53,589,714.47/5,985.30
  6. Step 6: Final answer
    x = 8,953.56

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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.