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Finding the Fourth Proportional to 3,478.11, 5,218.74 and 1,477.37

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Solution

The fourth proportional to 3,478.11, 5,218.74 and 1,477.37 is: 2,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.11 : 5,218.74 = 1,477.37 : x
  2. Step 2: Convert to fraction form
    3,478.11/5,218.74 = 1,477.37/x
  3. Step 3: Cross multiply
    3,478.11x = 5,218.74 × 1,477.37
  4. Step 4: Simplify right side
    3,478.11x = 7,709,983.82
  5. Step 5: Solve for x
    x = 7,709,983.82/3,478.11
  6. Step 6: Final answer
    x = 2,216.72

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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.