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Finding the Fourth Proportional to 5,612.91, 8,409.81 and 3,966.30

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Solution

The fourth proportional to 5,612.91, 8,409.81 and 3,966.30 is: 5,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.91 : 8,409.81 = 3,966.30 : x
  2. Step 2: Convert to fraction form
    5,612.91/8,409.81 = 3,966.30/x
  3. Step 3: Cross multiply
    5,612.91x = 8,409.81 × 3,966.30
  4. Step 4: Simplify right side
    5,612.91x = 33,355,829.40
  5. Step 5: Solve for x
    x = 33,355,829.40/5,612.91
  6. Step 6: Final answer
    x = 5,942.70

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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.