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Finding the Fourth Proportional to 3,694.61, 5,098.62 and 2,101.22

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Solution

The fourth proportional to 3,694.61, 5,098.62 and 2,101.22 is: 2,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.61 : 5,098.62 = 2,101.22 : x
  2. Step 2: Convert to fraction form
    3,694.61/5,098.62 = 2,101.22/x
  3. Step 3: Cross multiply
    3,694.61x = 5,098.62 × 2,101.22
  4. Step 4: Simplify right side
    3,694.61x = 10,713,322.32
  5. Step 5: Solve for x
    x = 10,713,322.32/3,694.61
  6. Step 6: Final answer
    x = 2,899.72

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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.