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Finding the Fourth Proportional to 5,721.22, 8,570.94 and 3,257.74

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Solution

The fourth proportional to 5,721.22, 8,570.94 and 3,257.74 is: 4,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.22 : 8,570.94 = 3,257.74 : x
  2. Step 2: Convert to fraction form
    5,721.22/8,570.94 = 3,257.74/x
  3. Step 3: Cross multiply
    5,721.22x = 8,570.94 × 3,257.74
  4. Step 4: Simplify right side
    5,721.22x = 27,921,894.08
  5. Step 5: Solve for x
    x = 27,921,894.08/5,721.22
  6. Step 6: Final answer
    x = 4,880.41

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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.