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Finding the Fourth Proportional to 5,996.86, 8,283.73 and 5,437.96

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Solution

The fourth proportional to 5,996.86, 8,283.73 and 5,437.96 is: 7,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.86 : 8,283.73 = 5,437.96 : x
  2. Step 2: Convert to fraction form
    5,996.86/8,283.73 = 5,437.96/x
  3. Step 3: Cross multiply
    5,996.86x = 8,283.73 × 5,437.96
  4. Step 4: Simplify right side
    5,996.86x = 45,046,592.39
  5. Step 5: Solve for x
    x = 45,046,592.39/5,996.86
  6. Step 6: Final answer
    x = 7,511.70

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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.