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Finding the Fourth Proportional to 5,640.60, 8,461.73 and 1,745.31

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Solution

The fourth proportional to 5,640.60, 8,461.73 and 1,745.31 is: 2,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.60 : 8,461.73 = 1,745.31 : x
  2. Step 2: Convert to fraction form
    5,640.60/8,461.73 = 1,745.31/x
  3. Step 3: Cross multiply
    5,640.60x = 8,461.73 × 1,745.31
  4. Step 4: Simplify right side
    5,640.60x = 14,768,341.99
  5. Step 5: Solve for x
    x = 14,768,341.99/5,640.60
  6. Step 6: Final answer
    x = 2,618.22

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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.