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Finding the Fourth Proportional to 3,532.80, 5,299.20 and 1,971.20

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Solution

The fourth proportional to 3,532.80, 5,299.20 and 1,971.20 is: 2,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.80 : 5,299.20 = 1,971.20 : x
  2. Step 2: Convert to fraction form
    3,532.80/5,299.20 = 1,971.20/x
  3. Step 3: Cross multiply
    3,532.80x = 5,299.20 × 1,971.20
  4. Step 4: Simplify right side
    3,532.80x = 10,445,783.04
  5. Step 5: Solve for x
    x = 10,445,783.04/3,532.80
  6. Step 6: Final answer
    x = 2,956.80

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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.