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Finding the Fourth Proportional to 5,065.25, 7,597.49 and 1,778.57

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Solution

The fourth proportional to 5,065.25, 7,597.49 and 1,778.57 is: 2,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.25 : 7,597.49 = 1,778.57 : x
  2. Step 2: Convert to fraction form
    5,065.25/7,597.49 = 1,778.57/x
  3. Step 3: Cross multiply
    5,065.25x = 7,597.49 × 1,778.57
  4. Step 4: Simplify right side
    5,065.25x = 13,512,629.80
  5. Step 5: Solve for x
    x = 13,512,629.80/5,065.25
  6. Step 6: Final answer
    x = 2,667.71

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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.