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Finding the Fourth Proportional to 4,774.88, 7,154.99 and 2,000.03

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Solution

The fourth proportional to 4,774.88, 7,154.99 and 2,000.03 is: 2,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.88 : 7,154.99 = 2,000.03 : x
  2. Step 2: Convert to fraction form
    4,774.88/7,154.99 = 2,000.03/x
  3. Step 3: Cross multiply
    4,774.88x = 7,154.99 × 2,000.03
  4. Step 4: Simplify right side
    4,774.88x = 14,310,217.54
  5. Step 5: Solve for x
    x = 14,310,217.54/4,774.88
  6. Step 6: Final answer
    x = 2,996.98

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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.