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Finding the Fourth Proportional to 3,496.68, 4,825.32 and 2,082

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Solution

The fourth proportional to 3,496.68, 4,825.32 and 2,082 is: 2,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.68 : 4,825.32 = 2,082 : x
  2. Step 2: Convert to fraction form
    3,496.68/4,825.32 = 2,082/x
  3. Step 3: Cross multiply
    3,496.68x = 4,825.32 × 2,082
  4. Step 4: Simplify right side
    3,496.68x = 10,046,316.24
  5. Step 5: Solve for x
    x = 10,046,316.24/3,496.68
  6. Step 6: Final answer
    x = 2,873.10

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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.