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Finding the Fourth Proportional to 5,809.08, 8,702.82 and 3,858.60

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Solution

The fourth proportional to 5,809.08, 8,702.82 and 3,858.60 is: 5,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.08 : 8,702.82 = 3,858.60 : x
  2. Step 2: Convert to fraction form
    5,809.08/8,702.82 = 3,858.60/x
  3. Step 3: Cross multiply
    5,809.08x = 8,702.82 × 3,858.60
  4. Step 4: Simplify right side
    5,809.08x = 33,580,701.25
  5. Step 5: Solve for x
    x = 33,580,701.25/5,809.08
  6. Step 6: Final answer
    x = 5,780.73

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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.