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Finding the Fourth Proportional to 5,824.44, 8,034.84 and 3,702.60

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Solution

The fourth proportional to 5,824.44, 8,034.84 and 3,702.60 is: 5,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.44 : 8,034.84 = 3,702.60 : x
  2. Step 2: Convert to fraction form
    5,824.44/8,034.84 = 3,702.60/x
  3. Step 3: Cross multiply
    5,824.44x = 8,034.84 × 3,702.60
  4. Step 4: Simplify right side
    5,824.44x = 29,749,798.58
  5. Step 5: Solve for x
    x = 29,749,798.58/5,824.44
  6. Step 6: Final answer
    x = 5,107.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.