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Finding the Fourth Proportional to 3,477.76, 5,216.56 and 1,286.24

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Solution

The fourth proportional to 3,477.76, 5,216.56 and 1,286.24 is: 1,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.76 : 5,216.56 = 1,286.24 : x
  2. Step 2: Convert to fraction form
    3,477.76/5,216.56 = 1,286.24/x
  3. Step 3: Cross multiply
    3,477.76x = 5,216.56 × 1,286.24
  4. Step 4: Simplify right side
    3,477.76x = 6,709,748.13
  5. Step 5: Solve for x
    x = 6,709,748.13/3,477.76
  6. Step 6: Final answer
    x = 1,929.33

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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.