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Finding the Fourth Proportional to 3,697.47, 5,546.25 and 1,357.83

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Solution

The fourth proportional to 3,697.47, 5,546.25 and 1,357.83 is: 2,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.47 : 5,546.25 = 1,357.83 : x
  2. Step 2: Convert to fraction form
    3,697.47/5,546.25 = 1,357.83/x
  3. Step 3: Cross multiply
    3,697.47x = 5,546.25 × 1,357.83
  4. Step 4: Simplify right side
    3,697.47x = 7,530,864.64
  5. Step 5: Solve for x
    x = 7,530,864.64/3,697.47
  6. Step 6: Final answer
    x = 2,036.76

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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.