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Finding the Fourth Proportional to 3,743.69, 5,166.08 and 2,065.08

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Solution

The fourth proportional to 3,743.69, 5,166.08 and 2,065.08 is: 2,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.69 : 5,166.08 = 2,065.08 : x
  2. Step 2: Convert to fraction form
    3,743.69/5,166.08 = 2,065.08/x
  3. Step 3: Cross multiply
    3,743.69x = 5,166.08 × 2,065.08
  4. Step 4: Simplify right side
    3,743.69x = 10,668,358.16
  5. Step 5: Solve for x
    x = 10,668,358.16/3,743.69
  6. Step 6: Final answer
    x = 2,849.69

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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.