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Finding the Fourth Proportional to 3,681.66, 5,080.74 and 2,109.75

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Solution

The fourth proportional to 3,681.66, 5,080.74 and 2,109.75 is: 2,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.66 : 5,080.74 = 2,109.75 : x
  2. Step 2: Convert to fraction form
    3,681.66/5,080.74 = 2,109.75/x
  3. Step 3: Cross multiply
    3,681.66x = 5,080.74 × 2,109.75
  4. Step 4: Simplify right side
    3,681.66x = 10,719,091.22
  5. Step 5: Solve for x
    x = 10,719,091.22/3,681.66
  6. Step 6: Final answer
    x = 2,911.48

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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.