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Finding the Fourth Proportional to 4,157.71, 5,737.64 and 3,096.39

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Solution

The fourth proportional to 4,157.71, 5,737.64 and 3,096.39 is: 4,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.71 : 5,737.64 = 3,096.39 : x
  2. Step 2: Convert to fraction form
    4,157.71/5,737.64 = 3,096.39/x
  3. Step 3: Cross multiply
    4,157.71x = 5,737.64 × 3,096.39
  4. Step 4: Simplify right side
    4,157.71x = 17,765,971.12
  5. Step 5: Solve for x
    x = 17,765,971.12/4,157.71
  6. Step 6: Final answer
    x = 4,273.02

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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.