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Finding the Fourth Proportional to 7,454.38, 10,286.82 and 4,097.19

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Solution

The fourth proportional to 7,454.38, 10,286.82 and 4,097.19 is: 5,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.38 : 10,286.82 = 4,097.19 : x
  2. Step 2: Convert to fraction form
    7,454.38/10,286.82 = 4,097.19/x
  3. Step 3: Cross multiply
    7,454.38x = 10,286.82 × 4,097.19
  4. Step 4: Simplify right side
    7,454.38x = 42,147,056.04
  5. Step 5: Solve for x
    x = 42,147,056.04/7,454.38
  6. Step 6: Final answer
    x = 5,654.00

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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.