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Finding the Fourth Proportional to 5,584.43, 8,377.55 and 1,886.88

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Solution

The fourth proportional to 5,584.43, 8,377.55 and 1,886.88 is: 2,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.43 : 8,377.55 = 1,886.88 : x
  2. Step 2: Convert to fraction form
    5,584.43/8,377.55 = 1,886.88/x
  3. Step 3: Cross multiply
    5,584.43x = 8,377.55 × 1,886.88
  4. Step 4: Simplify right side
    5,584.43x = 15,807,422.11
  5. Step 5: Solve for x
    x = 15,807,422.11/5,584.43
  6. Step 6: Final answer
    x = 2,830.63

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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.