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Finding the Fourth Proportional to 5,765.99, 8,648.93 and 1,605.99

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Solution

The fourth proportional to 5,765.99, 8,648.93 and 1,605.99 is: 2,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.99 : 8,648.93 = 1,605.99 : x
  2. Step 2: Convert to fraction form
    5,765.99/8,648.93 = 1,605.99/x
  3. Step 3: Cross multiply
    5,765.99x = 8,648.93 × 1,605.99
  4. Step 4: Simplify right side
    5,765.99x = 13,890,087.06
  5. Step 5: Solve for x
    x = 13,890,087.06/5,765.99
  6. Step 6: Final answer
    x = 2,408.97

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