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Finding the Fourth Proportional to 5,265.39, 7,893.20 and 1,980.66

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Solution

The fourth proportional to 5,265.39, 7,893.20 and 1,980.66 is: 2,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.39 : 7,893.20 = 1,980.66 : x
  2. Step 2: Convert to fraction form
    5,265.39/7,893.20 = 1,980.66/x
  3. Step 3: Cross multiply
    5,265.39x = 7,893.20 × 1,980.66
  4. Step 4: Simplify right side
    5,265.39x = 15,633,696.14
  5. Step 5: Solve for x
    x = 15,633,696.14/5,265.39
  6. Step 6: Final answer
    x = 2,969.15

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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.