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Finding the Fourth Proportional to 3,697.46, 5,542.59 and 3,005.54

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Solution

The fourth proportional to 3,697.46, 5,542.59 and 3,005.54 is: 4,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.46 : 5,542.59 = 3,005.54 : x
  2. Step 2: Convert to fraction form
    3,697.46/5,542.59 = 3,005.54/x
  3. Step 3: Cross multiply
    3,697.46x = 5,542.59 × 3,005.54
  4. Step 4: Simplify right side
    3,697.46x = 16,658,475.95
  5. Step 5: Solve for x
    x = 16,658,475.95/3,697.46
  6. Step 6: Final answer
    x = 4,505.38

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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.