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Finding the Fourth Proportional to 5,160.86, 7,741.26 and 1,265.25

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Solution

The fourth proportional to 5,160.86, 7,741.26 and 1,265.25 is: 1,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.86 : 7,741.26 = 1,265.25 : x
  2. Step 2: Convert to fraction form
    5,160.86/7,741.26 = 1,265.25/x
  3. Step 3: Cross multiply
    5,160.86x = 7,741.26 × 1,265.25
  4. Step 4: Simplify right side
    5,160.86x = 9,794,629.22
  5. Step 5: Solve for x
    x = 9,794,629.22/5,160.86
  6. Step 6: Final answer
    x = 1,897.87

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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.