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Finding the Fourth Proportional to 3,842.69, 5,302.88 and 2,164.17

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Solution

The fourth proportional to 3,842.69, 5,302.88 and 2,164.17 is: 2,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.69 : 5,302.88 = 2,164.17 : x
  2. Step 2: Convert to fraction form
    3,842.69/5,302.88 = 2,164.17/x
  3. Step 3: Cross multiply
    3,842.69x = 5,302.88 × 2,164.17
  4. Step 4: Simplify right side
    3,842.69x = 11,476,322.99
  5. Step 5: Solve for x
    x = 11,476,322.99/3,842.69
  6. Step 6: Final answer
    x = 2,986.54

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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.