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Finding the Fourth Proportional to 3,737.57, 5,157.81 and 2,059.16

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Solution

The fourth proportional to 3,737.57, 5,157.81 and 2,059.16 is: 2,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.57 : 5,157.81 = 2,059.16 : x
  2. Step 2: Convert to fraction form
    3,737.57/5,157.81 = 2,059.16/x
  3. Step 3: Cross multiply
    3,737.57x = 5,157.81 × 2,059.16
  4. Step 4: Simplify right side
    3,737.57x = 10,620,730.25
  5. Step 5: Solve for x
    x = 10,620,730.25/3,737.57
  6. Step 6: Final answer
    x = 2,841.62

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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.