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Finding the Fourth Proportional to 4,856.70, 7,288.65 and 3,212.70

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Solution

The fourth proportional to 4,856.70, 7,288.65 and 3,212.70 is: 4,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.70 : 7,288.65 = 3,212.70 : x
  2. Step 2: Convert to fraction form
    4,856.70/7,288.65 = 3,212.70/x
  3. Step 3: Cross multiply
    4,856.70x = 7,288.65 × 3,212.70
  4. Step 4: Simplify right side
    4,856.70x = 23,416,245.86
  5. Step 5: Solve for x
    x = 23,416,245.86/4,856.70
  6. Step 6: Final answer
    x = 4,821.43

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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.