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Finding the Fourth Proportional to 4,256.26, 6,380.60 and 1,658.60

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Solution

The fourth proportional to 4,256.26, 6,380.60 and 1,658.60 is: 2,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.26 : 6,380.60 = 1,658.60 : x
  2. Step 2: Convert to fraction form
    4,256.26/6,380.60 = 1,658.60/x
  3. Step 3: Cross multiply
    4,256.26x = 6,380.60 × 1,658.60
  4. Step 4: Simplify right side
    4,256.26x = 10,582,863.16
  5. Step 5: Solve for x
    x = 10,582,863.16/4,256.26
  6. Step 6: Final answer
    x = 2,486.42

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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.