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Finding the Fourth Proportional to 5,796.87, 8,001.07 and 3,407.37

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Solution

The fourth proportional to 5,796.87, 8,001.07 and 3,407.37 is: 4,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.87 : 8,001.07 = 3,407.37 : x
  2. Step 2: Convert to fraction form
    5,796.87/8,001.07 = 3,407.37/x
  3. Step 3: Cross multiply
    5,796.87x = 8,001.07 × 3,407.37
  4. Step 4: Simplify right side
    5,796.87x = 27,262,605.89
  5. Step 5: Solve for x
    x = 27,262,605.89/5,796.87
  6. Step 6: Final answer
    x = 4,702.99

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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.