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Finding the Fourth Proportional to 5,286.10, 7,283.07 and 3,490.39

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Solution

The fourth proportional to 5,286.10, 7,283.07 and 3,490.39 is: 4,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.10 : 7,283.07 = 3,490.39 : x
  2. Step 2: Convert to fraction form
    5,286.10/7,283.07 = 3,490.39/x
  3. Step 3: Cross multiply
    5,286.10x = 7,283.07 × 3,490.39
  4. Step 4: Simplify right side
    5,286.10x = 25,420,754.70
  5. Step 5: Solve for x
    x = 25,420,754.70/5,286.10
  6. Step 6: Final answer
    x = 4,808.98

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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.