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Finding the Fourth Proportional to 5,745.51, 8,618.81 and 1,585.80

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Solution

The fourth proportional to 5,745.51, 8,618.81 and 1,585.80 is: 2,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.51 : 8,618.81 = 1,585.80 : x
  2. Step 2: Convert to fraction form
    5,745.51/8,618.81 = 1,585.80/x
  3. Step 3: Cross multiply
    5,745.51x = 8,618.81 × 1,585.80
  4. Step 4: Simplify right side
    5,745.51x = 13,667,700.97
  5. Step 5: Solve for x
    x = 13,667,700.97/5,745.51
  6. Step 6: Final answer
    x = 2,378.85

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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.