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Finding the Fourth Proportional to 5,931.62, 8,902.81 and 3,160.64

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Solution

The fourth proportional to 5,931.62, 8,902.81 and 3,160.64 is: 4,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.62 : 8,902.81 = 3,160.64 : x
  2. Step 2: Convert to fraction form
    5,931.62/8,902.81 = 3,160.64/x
  3. Step 3: Cross multiply
    5,931.62x = 8,902.81 × 3,160.64
  4. Step 4: Simplify right side
    5,931.62x = 28,138,577.40
  5. Step 5: Solve for x
    x = 28,138,577.40/5,931.62
  6. Step 6: Final answer
    x = 4,743.83

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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.