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Finding the Fourth Proportional to 5,784.80, 8,662.44 and 3,184.88

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Solution

The fourth proportional to 5,784.80, 8,662.44 and 3,184.88 is: 4,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.80 : 8,662.44 = 3,184.88 : x
  2. Step 2: Convert to fraction form
    5,784.80/8,662.44 = 3,184.88/x
  3. Step 3: Cross multiply
    5,784.80x = 8,662.44 × 3,184.88
  4. Step 4: Simplify right side
    5,784.80x = 27,588,831.91
  5. Step 5: Solve for x
    x = 27,588,831.91/5,784.80
  6. Step 6: Final answer
    x = 4,769.19

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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.