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Finding the Fourth Proportional to 3,866.83, 5,335.77 and 2,165.42

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Solution

The fourth proportional to 3,866.83, 5,335.77 and 2,165.42 is: 2,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.83 : 5,335.77 = 2,165.42 : x
  2. Step 2: Convert to fraction form
    3,866.83/5,335.77 = 2,165.42/x
  3. Step 3: Cross multiply
    3,866.83x = 5,335.77 × 2,165.42
  4. Step 4: Simplify right side
    3,866.83x = 11,554,172.25
  5. Step 5: Solve for x
    x = 11,554,172.25/3,866.83
  6. Step 6: Final answer
    x = 2,988.03

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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.