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Finding the Fourth Proportional to 5,065.69, 7,601.94 and 1,778.80

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Solution

The fourth proportional to 5,065.69, 7,601.94 and 1,778.80 is: 2,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.69 : 7,601.94 = 1,778.80 : x
  2. Step 2: Convert to fraction form
    5,065.69/7,601.94 = 1,778.80/x
  3. Step 3: Cross multiply
    5,065.69x = 7,601.94 × 1,778.80
  4. Step 4: Simplify right side
    5,065.69x = 13,522,330.87
  5. Step 5: Solve for x
    x = 13,522,330.87/5,065.69
  6. Step 6: Final answer
    x = 2,669.40

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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.