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Finding the Fourth Proportional to 4,538.88, 6,804.45 and 2,072.82

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Solution

The fourth proportional to 4,538.88, 6,804.45 and 2,072.82 is: 3,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.88 : 6,804.45 = 2,072.82 : x
  2. Step 2: Convert to fraction form
    4,538.88/6,804.45 = 2,072.82/x
  3. Step 3: Cross multiply
    4,538.88x = 6,804.45 × 2,072.82
  4. Step 4: Simplify right side
    4,538.88x = 14,104,400.05
  5. Step 5: Solve for x
    x = 14,104,400.05/4,538.88
  6. Step 6: Final answer
    x = 3,107.46

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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.