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Finding the Fourth Proportional to 3,548.69, 4,897.23 and 1,976.82

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Solution

The fourth proportional to 3,548.69, 4,897.23 and 1,976.82 is: 2,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.69 : 4,897.23 = 1,976.82 : x
  2. Step 2: Convert to fraction form
    3,548.69/4,897.23 = 1,976.82/x
  3. Step 3: Cross multiply
    3,548.69x = 4,897.23 × 1,976.82
  4. Step 4: Simplify right side
    3,548.69x = 9,680,942.21
  5. Step 5: Solve for x
    x = 9,680,942.21/3,548.69
  6. Step 6: Final answer
    x = 2,728.03

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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.