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Finding the Fourth Proportional to 5,062.67, 7,594.81 and 2,141

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Solution

The fourth proportional to 5,062.67, 7,594.81 and 2,141 is: 3,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.67 : 7,594.81 = 2,141 : x
  2. Step 2: Convert to fraction form
    5,062.67/7,594.81 = 2,141/x
  3. Step 3: Cross multiply
    5,062.67x = 7,594.81 × 2,141
  4. Step 4: Simplify right side
    5,062.67x = 16,260,488.21
  5. Step 5: Solve for x
    x = 16,260,488.21/5,062.67
  6. Step 6: Final answer
    x = 3,211.84

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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.