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Finding the Fourth Proportional to 5,745.74, 8,620.16 and 2,048.36

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Solution

The fourth proportional to 5,745.74, 8,620.16 and 2,048.36 is: 3,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.74 : 8,620.16 = 2,048.36 : x
  2. Step 2: Convert to fraction form
    5,745.74/8,620.16 = 2,048.36/x
  3. Step 3: Cross multiply
    5,745.74x = 8,620.16 × 2,048.36
  4. Step 4: Simplify right side
    5,745.74x = 17,657,137.60
  5. Step 5: Solve for x
    x = 17,657,137.60/5,745.74
  6. Step 6: Final answer
    x = 3,073.09

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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.