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Finding the Fourth Proportional to 4,683.67, 6,463.62 and 3,091.71

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Solution

The fourth proportional to 4,683.67, 6,463.62 and 3,091.71 is: 4,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.67 : 6,463.62 = 3,091.71 : x
  2. Step 2: Convert to fraction form
    4,683.67/6,463.62 = 3,091.71/x
  3. Step 3: Cross multiply
    4,683.67x = 6,463.62 × 3,091.71
  4. Step 4: Simplify right side
    4,683.67x = 19,983,638.59
  5. Step 5: Solve for x
    x = 19,983,638.59/4,683.67
  6. Step 6: Final answer
    x = 4,266.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.