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Finding the Fourth Proportional to 4,546.29, 6,778.81 and 4,537.41

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Solution

The fourth proportional to 4,546.29, 6,778.81 and 4,537.41 is: 6,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.29 : 6,778.81 = 4,537.41 : x
  2. Step 2: Convert to fraction form
    4,546.29/6,778.81 = 4,537.41/x
  3. Step 3: Cross multiply
    4,546.29x = 6,778.81 × 4,537.41
  4. Step 4: Simplify right side
    4,546.29x = 30,758,228.94
  5. Step 5: Solve for x
    x = 30,758,228.94/4,546.29
  6. Step 6: Final answer
    x = 6,765.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.