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Finding the Fourth Proportional to 4,771.50, 6,569.96 and 4,239.44

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Solution

The fourth proportional to 4,771.50, 6,569.96 and 4,239.44 is: 5,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.50 : 6,569.96 = 4,239.44 : x
  2. Step 2: Convert to fraction form
    4,771.50/6,569.96 = 4,239.44/x
  3. Step 3: Cross multiply
    4,771.50x = 6,569.96 × 4,239.44
  4. Step 4: Simplify right side
    4,771.50x = 27,852,951.22
  5. Step 5: Solve for x
    x = 27,852,951.22/4,771.50
  6. Step 6: Final answer
    x = 5,837.36

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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.