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Finding the Fourth Proportional to 5,702.89, 8,556.46 and 3,486.27

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Solution

The fourth proportional to 5,702.89, 8,556.46 and 3,486.27 is: 5,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.89 : 8,556.46 = 3,486.27 : x
  2. Step 2: Convert to fraction form
    5,702.89/8,556.46 = 3,486.27/x
  3. Step 3: Cross multiply
    5,702.89x = 8,556.46 × 3,486.27
  4. Step 4: Simplify right side
    5,702.89x = 29,830,129.80
  5. Step 5: Solve for x
    x = 29,830,129.80/5,702.89
  6. Step 6: Final answer
    x = 5,230.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.