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Finding the Fourth Proportional to 4,773.69, 7,163.78 and 2,466.81

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Solution

The fourth proportional to 4,773.69, 7,163.78 and 2,466.81 is: 3,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.69 : 7,163.78 = 2,466.81 : x
  2. Step 2: Convert to fraction form
    4,773.69/7,163.78 = 2,466.81/x
  3. Step 3: Cross multiply
    4,773.69x = 7,163.78 × 2,466.81
  4. Step 4: Simplify right side
    4,773.69x = 17,671,671.81
  5. Step 5: Solve for x
    x = 17,671,671.81/4,773.69
  6. Step 6: Final answer
    x = 3,701.89

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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.