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Finding the Fourth Proportional to 5,747.02, 8,607.69 and 4,997.02

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Solution

The fourth proportional to 5,747.02, 8,607.69 and 4,997.02 is: 7,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.02 : 8,607.69 = 4,997.02 : x
  2. Step 2: Convert to fraction form
    5,747.02/8,607.69 = 4,997.02/x
  3. Step 3: Cross multiply
    5,747.02x = 8,607.69 × 4,997.02
  4. Step 4: Simplify right side
    5,747.02x = 43,012,799.08
  5. Step 5: Solve for x
    x = 43,012,799.08/5,747.02
  6. Step 6: Final answer
    x = 7,484.37

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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.