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Finding the Fourth Proportional to 5,761.85, 8,628.93 and 3,289.17

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Solution

The fourth proportional to 5,761.85, 8,628.93 and 3,289.17 is: 4,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.85 : 8,628.93 = 3,289.17 : x
  2. Step 2: Convert to fraction form
    5,761.85/8,628.93 = 3,289.17/x
  3. Step 3: Cross multiply
    5,761.85x = 8,628.93 × 3,289.17
  4. Step 4: Simplify right side
    5,761.85x = 28,382,017.69
  5. Step 5: Solve for x
    x = 28,382,017.69/5,761.85
  6. Step 6: Final answer
    x = 4,925.85

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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.