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Finding the Fourth Proportional to 4,774.89, 7,164.77 and 2,177.49

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Solution

The fourth proportional to 4,774.89, 7,164.77 and 2,177.49 is: 3,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.89 : 7,164.77 = 2,177.49 : x
  2. Step 2: Convert to fraction form
    4,774.89/7,164.77 = 2,177.49/x
  3. Step 3: Cross multiply
    4,774.89x = 7,164.77 × 2,177.49
  4. Step 4: Simplify right side
    4,774.89x = 15,601,204.14
  5. Step 5: Solve for x
    x = 15,601,204.14/4,774.89
  6. Step 6: Final answer
    x = 3,267.34

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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.