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Finding the Fourth Proportional to 4,822.70, 7,248.27 and 3,267.86

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Solution

The fourth proportional to 4,822.70, 7,248.27 and 3,267.86 is: 4,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.70 : 7,248.27 = 3,267.86 : x
  2. Step 2: Convert to fraction form
    4,822.70/7,248.27 = 3,267.86/x
  3. Step 3: Cross multiply
    4,822.70x = 7,248.27 × 3,267.86
  4. Step 4: Simplify right side
    4,822.70x = 23,686,331.60
  5. Step 5: Solve for x
    x = 23,686,331.60/4,822.70
  6. Step 6: Final answer
    x = 4,911.43

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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.