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Finding the Fourth Proportional to 3,692.89, 5,541.78 and 1,745.23

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Solution

The fourth proportional to 3,692.89, 5,541.78 and 1,745.23 is: 2,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.89 : 5,541.78 = 1,745.23 : x
  2. Step 2: Convert to fraction form
    3,692.89/5,541.78 = 1,745.23/x
  3. Step 3: Cross multiply
    3,692.89x = 5,541.78 × 1,745.23
  4. Step 4: Simplify right side
    3,692.89x = 9,671,680.71
  5. Step 5: Solve for x
    x = 9,671,680.71/3,692.89
  6. Step 6: Final answer
    x = 2,619.00

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Why These Related Problems?

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