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Finding the Fourth Proportional to 3,926.64, 5,890.96 and 1,153.41

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Solution

The fourth proportional to 3,926.64, 5,890.96 and 1,153.41 is: 1,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.64 : 5,890.96 = 1,153.41 : x
  2. Step 2: Convert to fraction form
    3,926.64/5,890.96 = 1,153.41/x
  3. Step 3: Cross multiply
    3,926.64x = 5,890.96 × 1,153.41
  4. Step 4: Simplify right side
    3,926.64x = 6,794,671.52
  5. Step 5: Solve for x
    x = 6,794,671.52/3,926.64
  6. Step 6: Final answer
    x = 1,730.40

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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.