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Finding the Fourth Proportional to 5,214.58, 7,822.22 and 1,836.97

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Solution

The fourth proportional to 5,214.58, 7,822.22 and 1,836.97 is: 2,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.58 : 7,822.22 = 1,836.97 : x
  2. Step 2: Convert to fraction form
    5,214.58/7,822.22 = 1,836.97/x
  3. Step 3: Cross multiply
    5,214.58x = 7,822.22 × 1,836.97
  4. Step 4: Simplify right side
    5,214.58x = 14,369,154.73
  5. Step 5: Solve for x
    x = 14,369,154.73/5,214.58
  6. Step 6: Final answer
    x = 2,755.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.