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Finding the Fourth Proportional to 4,164.65, 5,747.10 and 2,276.23

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Solution

The fourth proportional to 4,164.65, 5,747.10 and 2,276.23 is: 3,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.65 : 5,747.10 = 2,276.23 : x
  2. Step 2: Convert to fraction form
    4,164.65/5,747.10 = 2,276.23/x
  3. Step 3: Cross multiply
    4,164.65x = 5,747.10 × 2,276.23
  4. Step 4: Simplify right side
    4,164.65x = 13,081,721.43
  5. Step 5: Solve for x
    x = 13,081,721.43/4,164.65
  6. Step 6: Final answer
    x = 3,141.14

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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.