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Finding the Fourth Proportional to 5,921.76, 8,173.20 and 3,405.60

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Solution

The fourth proportional to 5,921.76, 8,173.20 and 3,405.60 is: 4,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.76 : 8,173.20 = 3,405.60 : x
  2. Step 2: Convert to fraction form
    5,921.76/8,173.20 = 3,405.60/x
  3. Step 3: Cross multiply
    5,921.76x = 8,173.20 × 3,405.60
  4. Step 4: Simplify right side
    5,921.76x = 27,834,649.92
  5. Step 5: Solve for x
    x = 27,834,649.92/5,921.76
  6. Step 6: Final answer
    x = 4,700.40

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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.