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Finding the Fourth Proportional to 3,523.56, 4,856.94 and 2,737.86

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Solution

The fourth proportional to 3,523.56, 4,856.94 and 2,737.86 is: 3,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.56 : 4,856.94 = 2,737.86 : x
  2. Step 2: Convert to fraction form
    3,523.56/4,856.94 = 2,737.86/x
  3. Step 3: Cross multiply
    3,523.56x = 4,856.94 × 2,737.86
  4. Step 4: Simplify right side
    3,523.56x = 13,297,621.75
  5. Step 5: Solve for x
    x = 13,297,621.75/3,523.56
  6. Step 6: Final answer
    x = 3,773.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.