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Finding the Fourth Proportional to 3,477.17, 5,216.52 and 1,012.09

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Solution

The fourth proportional to 3,477.17, 5,216.52 and 1,012.09 is: 1,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.17 : 5,216.52 = 1,012.09 : x
  2. Step 2: Convert to fraction form
    3,477.17/5,216.52 = 1,012.09/x
  3. Step 3: Cross multiply
    3,477.17x = 5,216.52 × 1,012.09
  4. Step 4: Simplify right side
    3,477.17x = 5,279,587.73
  5. Step 5: Solve for x
    x = 5,279,587.73/3,477.17
  6. Step 6: Final answer
    x = 1,518.36

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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.