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Finding the Fourth Proportional to 5,784.48, 8,670.24 and 2,859.84

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Solution

The fourth proportional to 5,784.48, 8,670.24 and 2,859.84 is: 4,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.48 : 8,670.24 = 2,859.84 : x
  2. Step 2: Convert to fraction form
    5,784.48/8,670.24 = 2,859.84/x
  3. Step 3: Cross multiply
    5,784.48x = 8,670.24 × 2,859.84
  4. Step 4: Simplify right side
    5,784.48x = 24,795,499.16
  5. Step 5: Solve for x
    x = 24,795,499.16/5,784.48
  6. Step 6: Final answer
    x = 4,286.56

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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.