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Finding the Fourth Proportional to 5,772.50, 7,966.04 and 3,255.22

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Solution

The fourth proportional to 5,772.50, 7,966.04 and 3,255.22 is: 4,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.50 : 7,966.04 = 3,255.22 : x
  2. Step 2: Convert to fraction form
    5,772.50/7,966.04 = 3,255.22/x
  3. Step 3: Cross multiply
    5,772.50x = 7,966.04 × 3,255.22
  4. Step 4: Simplify right side
    5,772.50x = 25,931,212.73
  5. Step 5: Solve for x
    x = 25,931,212.73/5,772.50
  6. Step 6: Final answer
    x = 4,492.20

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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.