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Finding the Fourth Proportional to 5,764, 8,650.86 and 3,132.58

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Solution

The fourth proportional to 5,764, 8,650.86 and 3,132.58 is: 4,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764 : 8,650.86 = 3,132.58 : x
  2. Step 2: Convert to fraction form
    5,764/8,650.86 = 3,132.58/x
  3. Step 3: Cross multiply
    5,764x = 8,650.86 × 3,132.58
  4. Step 4: Simplify right side
    5,764x = 27,099,511.02
  5. Step 5: Solve for x
    x = 27,099,511.02/5,764
  6. Step 6: Final answer
    x = 4,701.51

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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.