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Finding the Fourth Proportional to 3,477.43, 5,216.47 and 1,137.45

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Solution

The fourth proportional to 3,477.43, 5,216.47 and 1,137.45 is: 1,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.43 : 5,216.47 = 1,137.45 : x
  2. Step 2: Convert to fraction form
    3,477.43/5,216.47 = 1,137.45/x
  3. Step 3: Cross multiply
    3,477.43x = 5,216.47 × 1,137.45
  4. Step 4: Simplify right side
    3,477.43x = 5,933,453.62
  5. Step 5: Solve for x
    x = 5,933,453.62/3,477.43
  6. Step 6: Final answer
    x = 1,706.28

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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.