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Finding the Fourth Proportional to 4,776.43, 7,164.30 and 2,002.09

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Solution

The fourth proportional to 4,776.43, 7,164.30 and 2,002.09 is: 3,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.43 : 7,164.30 = 2,002.09 : x
  2. Step 2: Convert to fraction form
    4,776.43/7,164.30 = 2,002.09/x
  3. Step 3: Cross multiply
    4,776.43x = 7,164.30 × 2,002.09
  4. Step 4: Simplify right side
    4,776.43x = 14,343,573.39
  5. Step 5: Solve for x
    x = 14,343,573.39/4,776.43
  6. Step 6: Final answer
    x = 3,002.99

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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.