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Finding the Fourth Proportional to 5,584.33, 8,376.42 and 1,889.16

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Solution

The fourth proportional to 5,584.33, 8,376.42 and 1,889.16 is: 2,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.33 : 8,376.42 = 1,889.16 : x
  2. Step 2: Convert to fraction form
    5,584.33/8,376.42 = 1,889.16/x
  3. Step 3: Cross multiply
    5,584.33x = 8,376.42 × 1,889.16
  4. Step 4: Simplify right side
    5,584.33x = 15,824,397.61
  5. Step 5: Solve for x
    x = 15,824,397.61/5,584.33
  6. Step 6: Final answer
    x = 2,833.71

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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.