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Finding the Fourth Proportional to 4,776.71, 7,164.17 and 2,002.62

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Solution

The fourth proportional to 4,776.71, 7,164.17 and 2,002.62 is: 3,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.71 : 7,164.17 = 2,002.62 : x
  2. Step 2: Convert to fraction form
    4,776.71/7,164.17 = 2,002.62/x
  3. Step 3: Cross multiply
    4,776.71x = 7,164.17 × 2,002.62
  4. Step 4: Simplify right side
    4,776.71x = 14,347,134.49
  5. Step 5: Solve for x
    x = 14,347,134.49/4,776.71
  6. Step 6: Final answer
    x = 3,003.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.