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Finding the Fourth Proportional to 5,383.05, 7,429.17 and 3,145.65

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Solution

The fourth proportional to 5,383.05, 7,429.17 and 3,145.65 is: 4,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.05 : 7,429.17 = 3,145.65 : x
  2. Step 2: Convert to fraction form
    5,383.05/7,429.17 = 3,145.65/x
  3. Step 3: Cross multiply
    5,383.05x = 7,429.17 × 3,145.65
  4. Step 4: Simplify right side
    5,383.05x = 23,369,568.61
  5. Step 5: Solve for x
    x = 23,369,568.61/5,383.05
  6. Step 6: Final answer
    x = 4,341.32

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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.