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Finding the Fourth Proportional to 5,772.92, 7,967.12 and 3,255.52

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Solution

The fourth proportional to 5,772.92, 7,967.12 and 3,255.52 is: 4,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.92 : 7,967.12 = 3,255.52 : x
  2. Step 2: Convert to fraction form
    5,772.92/7,967.12 = 3,255.52/x
  3. Step 3: Cross multiply
    5,772.92x = 7,967.12 × 3,255.52
  4. Step 4: Simplify right side
    5,772.92x = 25,937,118.50
  5. Step 5: Solve for x
    x = 25,937,118.50/5,772.92
  6. Step 6: Final answer
    x = 4,492.89

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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.