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Finding the Fourth Proportional to 4,477.19, 6,682.92 and 4,147.31

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Solution

The fourth proportional to 4,477.19, 6,682.92 and 4,147.31 is: 6,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.19 : 6,682.92 = 4,147.31 : x
  2. Step 2: Convert to fraction form
    4,477.19/6,682.92 = 4,147.31/x
  3. Step 3: Cross multiply
    4,477.19x = 6,682.92 × 4,147.31
  4. Step 4: Simplify right side
    4,477.19x = 27,716,142.10
  5. Step 5: Solve for x
    x = 27,716,142.10/4,477.19
  6. Step 6: Final answer
    x = 6,190.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.