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Finding the Fourth Proportional to 5,765.92, 8,637.94 and 3,420.97

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Solution

The fourth proportional to 5,765.92, 8,637.94 and 3,420.97 is: 5,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.92 : 8,637.94 = 3,420.97 : x
  2. Step 2: Convert to fraction form
    5,765.92/8,637.94 = 3,420.97/x
  3. Step 3: Cross multiply
    5,765.92x = 8,637.94 × 3,420.97
  4. Step 4: Simplify right side
    5,765.92x = 29,550,116.28
  5. Step 5: Solve for x
    x = 29,550,116.28/5,765.92
  6. Step 6: Final answer
    x = 5,124.96

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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.