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Finding the Fourth Proportional to 5,646.54, 7,792.20 and 3,256.50

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Solution

The fourth proportional to 5,646.54, 7,792.20 and 3,256.50 is: 4,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.54 : 7,792.20 = 3,256.50 : x
  2. Step 2: Convert to fraction form
    5,646.54/7,792.20 = 3,256.50/x
  3. Step 3: Cross multiply
    5,646.54x = 7,792.20 × 3,256.50
  4. Step 4: Simplify right side
    5,646.54x = 25,375,299.30
  5. Step 5: Solve for x
    x = 25,375,299.30/5,646.54
  6. Step 6: Final answer
    x = 4,493.96

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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.