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Finding the Fourth Proportional to 5,745.60, 8,617.32 and 1,849.50

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Solution

The fourth proportional to 5,745.60, 8,617.32 and 1,849.50 is: 2,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.60 : 8,617.32 = 1,849.50 : x
  2. Step 2: Convert to fraction form
    5,745.60/8,617.32 = 1,849.50/x
  3. Step 3: Cross multiply
    5,745.60x = 8,617.32 × 1,849.50
  4. Step 4: Simplify right side
    5,745.60x = 15,937,733.34
  5. Step 5: Solve for x
    x = 15,937,733.34/5,745.60
  6. Step 6: Final answer
    x = 2,773.90

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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.