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Finding the Fourth Proportional to 4,161.66, 5,744.74 and 2,836.10

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Solution

The fourth proportional to 4,161.66, 5,744.74 and 2,836.10 is: 3,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.66 : 5,744.74 = 2,836.10 : x
  2. Step 2: Convert to fraction form
    4,161.66/5,744.74 = 2,836.10/x
  3. Step 3: Cross multiply
    4,161.66x = 5,744.74 × 2,836.10
  4. Step 4: Simplify right side
    4,161.66x = 16,292,657.11
  5. Step 5: Solve for x
    x = 16,292,657.11/4,161.66
  6. Step 6: Final answer
    x = 3,914.94

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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.