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Finding the Fourth Proportional to 3,431.94, 4,736.12 and 1,860.06

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Solution

The fourth proportional to 3,431.94, 4,736.12 and 1,860.06 is: 2,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.94 : 4,736.12 = 1,860.06 : x
  2. Step 2: Convert to fraction form
    3,431.94/4,736.12 = 1,860.06/x
  3. Step 3: Cross multiply
    3,431.94x = 4,736.12 × 1,860.06
  4. Step 4: Simplify right side
    3,431.94x = 8,809,467.37
  5. Step 5: Solve for x
    x = 8,809,467.37/3,431.94
  6. Step 6: Final answer
    x = 2,566.91

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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.