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Finding the Fourth Proportional to 5,724.64, 8,572.37 and 3,770.92

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Solution

The fourth proportional to 5,724.64, 8,572.37 and 3,770.92 is: 5,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.64 : 8,572.37 = 3,770.92 : x
  2. Step 2: Convert to fraction form
    5,724.64/8,572.37 = 3,770.92/x
  3. Step 3: Cross multiply
    5,724.64x = 8,572.37 × 3,770.92
  4. Step 4: Simplify right side
    5,724.64x = 32,325,678.62
  5. Step 5: Solve for x
    x = 32,325,678.62/5,724.64
  6. Step 6: Final answer
    x = 5,646.77

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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.