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Finding the Fourth Proportional to 3,668.50, 5,502.74 and 2,024.20

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Solution

The fourth proportional to 3,668.50, 5,502.74 and 2,024.20 is: 3,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.50 : 5,502.74 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    3,668.50/5,502.74 = 2,024.20/x
  3. Step 3: Cross multiply
    3,668.50x = 5,502.74 × 2,024.20
  4. Step 4: Simplify right side
    3,668.50x = 11,138,646.31
  5. Step 5: Solve for x
    x = 11,138,646.31/3,668.50
  6. Step 6: Final answer
    x = 3,036.29

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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.