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Finding the Fourth Proportional to 5,717.92, 7,890.34 and 3,199.58

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Solution

The fourth proportional to 5,717.92, 7,890.34 and 3,199.58 is: 4,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.92 : 7,890.34 = 3,199.58 : x
  2. Step 2: Convert to fraction form
    5,717.92/7,890.34 = 3,199.58/x
  3. Step 3: Cross multiply
    5,717.92x = 7,890.34 × 3,199.58
  4. Step 4: Simplify right side
    5,717.92x = 25,245,774.06
  5. Step 5: Solve for x
    x = 25,245,774.06/5,717.92
  6. Step 6: Final answer
    x = 4,415.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.