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Finding the Fourth Proportional to 5,975.29, 8,964.76 and 2,080

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Solution

The fourth proportional to 5,975.29, 8,964.76 and 2,080 is: 3,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.29 : 8,964.76 = 2,080 : x
  2. Step 2: Convert to fraction form
    5,975.29/8,964.76 = 2,080/x
  3. Step 3: Cross multiply
    5,975.29x = 8,964.76 × 2,080
  4. Step 4: Simplify right side
    5,975.29x = 18,646,700.80
  5. Step 5: Solve for x
    x = 18,646,700.80/5,975.29
  6. Step 6: Final answer
    x = 3,120.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.