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Finding the Fourth Proportional to 4,709.92, 7,064.78 and 2,522.92

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Solution

The fourth proportional to 4,709.92, 7,064.78 and 2,522.92 is: 3,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.92 : 7,064.78 = 2,522.92 : x
  2. Step 2: Convert to fraction form
    4,709.92/7,064.78 = 2,522.92/x
  3. Step 3: Cross multiply
    4,709.92x = 7,064.78 × 2,522.92
  4. Step 4: Simplify right side
    4,709.92x = 17,823,874.76
  5. Step 5: Solve for x
    x = 17,823,874.76/4,709.92
  6. Step 6: Final answer
    x = 3,784.33

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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.