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Finding the Fourth Proportional to 3,697.74, 5,533.56 and 3,487.23

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Solution

The fourth proportional to 3,697.74, 5,533.56 and 3,487.23 is: 5,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.74 : 5,533.56 = 3,487.23 : x
  2. Step 2: Convert to fraction form
    3,697.74/5,533.56 = 3,487.23/x
  3. Step 3: Cross multiply
    3,697.74x = 5,533.56 × 3,487.23
  4. Step 4: Simplify right side
    3,697.74x = 19,296,796.44
  5. Step 5: Solve for x
    x = 19,296,796.44/3,697.74
  6. Step 6: Final answer
    x = 5,218.54

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1.5x scale

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.