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Finding the Fourth Proportional to 3,522.69, 5,286.06 and 1,574.64

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Solution

The fourth proportional to 3,522.69, 5,286.06 and 1,574.64 is: 2,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.69 : 5,286.06 = 1,574.64 : x
  2. Step 2: Convert to fraction form
    3,522.69/5,286.06 = 1,574.64/x
  3. Step 3: Cross multiply
    3,522.69x = 5,286.06 × 1,574.64
  4. Step 4: Simplify right side
    3,522.69x = 8,323,641.52
  5. Step 5: Solve for x
    x = 8,323,641.52/3,522.69
  6. Step 6: Final answer
    x = 2,362.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.