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Finding the Fourth Proportional to 4,997.53, 7,494.99 and 1,486.59

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Solution

The fourth proportional to 4,997.53, 7,494.99 and 1,486.59 is: 2,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.53 : 7,494.99 = 1,486.59 : x
  2. Step 2: Convert to fraction form
    4,997.53/7,494.99 = 1,486.59/x
  3. Step 3: Cross multiply
    4,997.53x = 7,494.99 × 1,486.59
  4. Step 4: Simplify right side
    4,997.53x = 11,141,969.75
  5. Step 5: Solve for x
    x = 11,141,969.75/4,997.53
  6. Step 6: Final answer
    x = 2,229.50

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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.