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Finding the Fourth Proportional to 5,584.32, 8,377.17 and 1,886.94

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Solution

The fourth proportional to 5,584.32, 8,377.17 and 1,886.94 is: 2,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.32 : 8,377.17 = 1,886.94 : x
  2. Step 2: Convert to fraction form
    5,584.32/8,377.17 = 1,886.94/x
  3. Step 3: Cross multiply
    5,584.32x = 8,377.17 × 1,886.94
  4. Step 4: Simplify right side
    5,584.32x = 15,807,217.16
  5. Step 5: Solve for x
    x = 15,807,217.16/5,584.32
  6. Step 6: Final answer
    x = 2,830.64

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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.