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Finding the Fourth Proportional to 4,596.44, 6,893.19 and 1,963.89

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Solution

The fourth proportional to 4,596.44, 6,893.19 and 1,963.89 is: 2,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.44 : 6,893.19 = 1,963.89 : x
  2. Step 2: Convert to fraction form
    4,596.44/6,893.19 = 1,963.89/x
  3. Step 3: Cross multiply
    4,596.44x = 6,893.19 × 1,963.89
  4. Step 4: Simplify right side
    4,596.44x = 13,537,466.91
  5. Step 5: Solve for x
    x = 13,537,466.91/4,596.44
  6. Step 6: Final answer
    x = 2,945.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.