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Finding the Fourth Proportional to 5,223.76, 7,208.74 and 2,865.84

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Solution

The fourth proportional to 5,223.76, 7,208.74 and 2,865.84 is: 3,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.76 : 7,208.74 = 2,865.84 : x
  2. Step 2: Convert to fraction form
    5,223.76/7,208.74 = 2,865.84/x
  3. Step 3: Cross multiply
    5,223.76x = 7,208.74 × 2,865.84
  4. Step 4: Simplify right side
    5,223.76x = 20,659,095.44
  5. Step 5: Solve for x
    x = 20,659,095.44/5,223.76
  6. Step 6: Final answer
    x = 3,954.83

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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.