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Finding the Fourth Proportional to 5,784.32, 8,677.04 and 2,321.12

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Solution

The fourth proportional to 5,784.32, 8,677.04 and 2,321.12 is: 3,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.32 : 8,677.04 = 2,321.12 : x
  2. Step 2: Convert to fraction form
    5,784.32/8,677.04 = 2,321.12/x
  3. Step 3: Cross multiply
    5,784.32x = 8,677.04 × 2,321.12
  4. Step 4: Simplify right side
    5,784.32x = 20,140,451.08
  5. Step 5: Solve for x
    x = 20,140,451.08/5,784.32
  6. Step 6: Final answer
    x = 3,481.90

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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.