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Finding the Fourth Proportional to 5,886.75, 8,830.19 and 1,938.27

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Solution

The fourth proportional to 5,886.75, 8,830.19 and 1,938.27 is: 2,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.75 : 8,830.19 = 1,938.27 : x
  2. Step 2: Convert to fraction form
    5,886.75/8,830.19 = 1,938.27/x
  3. Step 3: Cross multiply
    5,886.75x = 8,830.19 × 1,938.27
  4. Step 4: Simplify right side
    5,886.75x = 17,115,292.37
  5. Step 5: Solve for x
    x = 17,115,292.37/5,886.75
  6. Step 6: Final answer
    x = 2,907.43

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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.