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Finding the Fourth Proportional to 4,132.64, 6,197.68 and 1,396

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Solution

The fourth proportional to 4,132.64, 6,197.68 and 1,396 is: 2,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.64 : 6,197.68 = 1,396 : x
  2. Step 2: Convert to fraction form
    4,132.64/6,197.68 = 1,396/x
  3. Step 3: Cross multiply
    4,132.64x = 6,197.68 × 1,396
  4. Step 4: Simplify right side
    4,132.64x = 8,651,961.28
  5. Step 5: Solve for x
    x = 8,651,961.28/4,132.64
  6. Step 6: Final answer
    x = 2,093.57

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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.