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Finding the Fourth Proportional to 5,165.36, 7,747.95 and 1,269.80

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Solution

The fourth proportional to 5,165.36, 7,747.95 and 1,269.80 is: 1,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.36 : 7,747.95 = 1,269.80 : x
  2. Step 2: Convert to fraction form
    5,165.36/7,747.95 = 1,269.80/x
  3. Step 3: Cross multiply
    5,165.36x = 7,747.95 × 1,269.80
  4. Step 4: Simplify right side
    5,165.36x = 9,838,346.91
  5. Step 5: Solve for x
    x = 9,838,346.91/5,165.36
  6. Step 6: Final answer
    x = 1,904.68

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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.