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Finding the Fourth Proportional to 4,856.70, 7,277.85 and 4,122.30

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Solution

The fourth proportional to 4,856.70, 7,277.85 and 4,122.30 is: 6,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.70 : 7,277.85 = 4,122.30 : x
  2. Step 2: Convert to fraction form
    4,856.70/7,277.85 = 4,122.30/x
  3. Step 3: Cross multiply
    4,856.70x = 7,277.85 × 4,122.30
  4. Step 4: Simplify right side
    4,856.70x = 30,001,481.06
  5. Step 5: Solve for x
    x = 30,001,481.06/4,856.70
  6. Step 6: Final answer
    x = 6,177.34

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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.