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Finding the Fourth Proportional to 4,594.92, 6,892.37 and 1,474.86

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Solution

The fourth proportional to 4,594.92, 6,892.37 and 1,474.86 is: 2,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.92 : 6,892.37 = 1,474.86 : x
  2. Step 2: Convert to fraction form
    4,594.92/6,892.37 = 1,474.86/x
  3. Step 3: Cross multiply
    4,594.92x = 6,892.37 × 1,474.86
  4. Step 4: Simplify right side
    4,594.92x = 10,165,280.82
  5. Step 5: Solve for x
    x = 10,165,280.82/4,594.92
  6. Step 6: Final answer
    x = 2,212.29

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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.