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Finding the Fourth Proportional to 3,693.77, 5,097.23 and 2,015.08

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Solution

The fourth proportional to 3,693.77, 5,097.23 and 2,015.08 is: 2,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.77 : 5,097.23 = 2,015.08 : x
  2. Step 2: Convert to fraction form
    3,693.77/5,097.23 = 2,015.08/x
  3. Step 3: Cross multiply
    3,693.77x = 5,097.23 × 2,015.08
  4. Step 4: Simplify right side
    3,693.77x = 10,271,310.97
  5. Step 5: Solve for x
    x = 10,271,310.97/3,693.77
  6. Step 6: Final answer
    x = 2,780.71

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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.