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Finding the Fourth Proportional to 5,722.33, 7,866.43 and 4,922.72

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Solution

The fourth proportional to 5,722.33, 7,866.43 and 4,922.72 is: 6,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.33 : 7,866.43 = 4,922.72 : x
  2. Step 2: Convert to fraction form
    5,722.33/7,866.43 = 4,922.72/x
  3. Step 3: Cross multiply
    5,722.33x = 7,866.43 × 4,922.72
  4. Step 4: Simplify right side
    5,722.33x = 38,724,232.29
  5. Step 5: Solve for x
    x = 38,724,232.29/5,722.33
  6. Step 6: Final answer
    x = 6,767.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.