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Finding the Fourth Proportional to 5,905.24, 8,859.38 and 1,745.08

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Solution

The fourth proportional to 5,905.24, 8,859.38 and 1,745.08 is: 2,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.24 : 8,859.38 = 1,745.08 : x
  2. Step 2: Convert to fraction form
    5,905.24/8,859.38 = 1,745.08/x
  3. Step 3: Cross multiply
    5,905.24x = 8,859.38 × 1,745.08
  4. Step 4: Simplify right side
    5,905.24x = 15,460,326.85
  5. Step 5: Solve for x
    x = 15,460,326.85/5,905.24
  6. Step 6: Final answer
    x = 2,618.07

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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.