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Finding the Fourth Proportional to 4,997.83, 7,459.67 and 4,327.73

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Solution

The fourth proportional to 4,997.83, 7,459.67 and 4,327.73 is: 6,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.83 : 7,459.67 = 4,327.73 : x
  2. Step 2: Convert to fraction form
    4,997.83/7,459.67 = 4,327.73/x
  3. Step 3: Cross multiply
    4,997.83x = 7,459.67 × 4,327.73
  4. Step 4: Simplify right side
    4,997.83x = 32,283,437.65
  5. Step 5: Solve for x
    x = 32,283,437.65/4,997.83
  6. Step 6: Final answer
    x = 6,459.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.