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Finding the Fourth Proportional to 4,965.28, 6,851.10 and 2,975.10

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Solution

The fourth proportional to 4,965.28, 6,851.10 and 2,975.10 is: 4,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.28 : 6,851.10 = 2,975.10 : x
  2. Step 2: Convert to fraction form
    4,965.28/6,851.10 = 2,975.10/x
  3. Step 3: Cross multiply
    4,965.28x = 6,851.10 × 2,975.10
  4. Step 4: Simplify right side
    4,965.28x = 20,382,707.61
  5. Step 5: Solve for x
    x = 20,382,707.61/4,965.28
  6. Step 6: Final answer
    x = 4,105.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.