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Finding the Fourth Proportional to 5,921.64, 8,171.01 and 3,404.16

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Solution

The fourth proportional to 5,921.64, 8,171.01 and 3,404.16 is: 4,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.64 : 8,171.01 = 3,404.16 : x
  2. Step 2: Convert to fraction form
    5,921.64/8,171.01 = 3,404.16/x
  3. Step 3: Cross multiply
    5,921.64x = 8,171.01 × 3,404.16
  4. Step 4: Simplify right side
    5,921.64x = 27,815,425.40
  5. Step 5: Solve for x
    x = 27,815,425.40/5,921.64
  6. Step 6: Final answer
    x = 4,697.25

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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.