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Finding the Fourth Proportional to 3,668.34, 5,062.32 and 2,096.40

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Solution

The fourth proportional to 3,668.34, 5,062.32 and 2,096.40 is: 2,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.34 : 5,062.32 = 2,096.40 : x
  2. Step 2: Convert to fraction form
    3,668.34/5,062.32 = 2,096.40/x
  3. Step 3: Cross multiply
    3,668.34x = 5,062.32 × 2,096.40
  4. Step 4: Simplify right side
    3,668.34x = 10,612,647.65
  5. Step 5: Solve for x
    x = 10,612,647.65/3,668.34
  6. Step 6: Final answer
    x = 2,893.04

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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.