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Finding the Fourth Proportional to 3,487.50, 5,224.52 and 2,022.20

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Solution

The fourth proportional to 3,487.50, 5,224.52 and 2,022.20 is: 3,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.50 : 5,224.52 = 2,022.20 : x
  2. Step 2: Convert to fraction form
    3,487.50/5,224.52 = 2,022.20/x
  3. Step 3: Cross multiply
    3,487.50x = 5,224.52 × 2,022.20
  4. Step 4: Simplify right side
    3,487.50x = 10,565,024.34
  5. Step 5: Solve for x
    x = 10,565,024.34/3,487.50
  6. Step 6: Final answer
    x = 3,029.40

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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.