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Finding the Fourth Proportional to 3,471.63, 4,786.67 and 2,410.31

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Solution

The fourth proportional to 3,471.63, 4,786.67 and 2,410.31 is: 3,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.63 : 4,786.67 = 2,410.31 : x
  2. Step 2: Convert to fraction form
    3,471.63/4,786.67 = 2,410.31/x
  3. Step 3: Cross multiply
    3,471.63x = 4,786.67 × 2,410.31
  4. Step 4: Simplify right side
    3,471.63x = 11,537,322.58
  5. Step 5: Solve for x
    x = 11,537,322.58/3,471.63
  6. Step 6: Final answer
    x = 3,323.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.