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Finding the Fourth Proportional to 3,523.95, 5,286.69 and 1,332.72

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Solution

The fourth proportional to 3,523.95, 5,286.69 and 1,332.72 is: 1,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.95 : 5,286.69 = 1,332.72 : x
  2. Step 2: Convert to fraction form
    3,523.95/5,286.69 = 1,332.72/x
  3. Step 3: Cross multiply
    3,523.95x = 5,286.69 × 1,332.72
  4. Step 4: Simplify right side
    3,523.95x = 7,045,677.50
  5. Step 5: Solve for x
    x = 7,045,677.50/3,523.95
  6. Step 6: Final answer
    x = 1,999.37

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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.