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Finding the Fourth Proportional to 4,683.69, 6,463.48 and 2,559.23

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Solution

The fourth proportional to 4,683.69, 6,463.48 and 2,559.23 is: 3,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.69 : 6,463.48 = 2,559.23 : x
  2. Step 2: Convert to fraction form
    4,683.69/6,463.48 = 2,559.23/x
  3. Step 3: Cross multiply
    4,683.69x = 6,463.48 × 2,559.23
  4. Step 4: Simplify right side
    4,683.69x = 16,541,522.24
  5. Step 5: Solve for x
    x = 16,541,522.24/4,683.69
  6. Step 6: Final answer
    x = 3,531.73

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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.