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Finding the Fourth Proportional to 5,584.30, 8,374.02 and 2,809.24

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Solution

The fourth proportional to 5,584.30, 8,374.02 and 2,809.24 is: 4,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.30 : 8,374.02 = 2,809.24 : x
  2. Step 2: Convert to fraction form
    5,584.30/8,374.02 = 2,809.24/x
  3. Step 3: Cross multiply
    5,584.30x = 8,374.02 × 2,809.24
  4. Step 4: Simplify right side
    5,584.30x = 23,524,631.94
  5. Step 5: Solve for x
    x = 23,524,631.94/5,584.30
  6. Step 6: Final answer
    x = 4,212.64

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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.