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Finding the Fourth Proportional to 4,774.43, 7,161.30 and 2,000.09

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Solution

The fourth proportional to 4,774.43, 7,161.30 and 2,000.09 is: 2,999.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.43 : 7,161.30 = 2,000.09 : x
  2. Step 2: Convert to fraction form
    4,774.43/7,161.30 = 2,000.09/x
  3. Step 3: Cross multiply
    4,774.43x = 7,161.30 × 2,000.09
  4. Step 4: Simplify right side
    4,774.43x = 14,323,208.71
  5. Step 5: Solve for x
    x = 14,323,208.71/4,774.43
  6. Step 6: Final answer
    x = 2,999.99

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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.