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Finding the Fourth Proportional to 3,920.69, 5,881.71 and 1,323.02

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Solution

The fourth proportional to 3,920.69, 5,881.71 and 1,323.02 is: 1,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.69 : 5,881.71 = 1,323.02 : x
  2. Step 2: Convert to fraction form
    3,920.69/5,881.71 = 1,323.02/x
  3. Step 3: Cross multiply
    3,920.69x = 5,881.71 × 1,323.02
  4. Step 4: Simplify right side
    3,920.69x = 7,781,639.63
  5. Step 5: Solve for x
    x = 7,781,639.63/3,920.69
  6. Step 6: Final answer
    x = 1,984.76

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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.