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Finding the Fourth Proportional to 4,774.73, 7,162.08 and 1,487.83

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Solution

The fourth proportional to 4,774.73, 7,162.08 and 1,487.83 is: 2,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.73 : 7,162.08 = 1,487.83 : x
  2. Step 2: Convert to fraction form
    4,774.73/7,162.08 = 1,487.83/x
  3. Step 3: Cross multiply
    4,774.73x = 7,162.08 × 1,487.83
  4. Step 4: Simplify right side
    4,774.73x = 10,655,935.86
  5. Step 5: Solve for x
    x = 10,655,935.86/4,774.73
  6. Step 6: Final answer
    x = 2,231.73

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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.