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Finding the Fourth Proportional to 3,548.82, 4,897.39 and 1,976.92

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Solution

The fourth proportional to 3,548.82, 4,897.39 and 1,976.92 is: 2,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.82 : 4,897.39 = 1,976.92 : x
  2. Step 2: Convert to fraction form
    3,548.82/4,897.39 = 1,976.92/x
  3. Step 3: Cross multiply
    3,548.82x = 4,897.39 × 1,976.92
  4. Step 4: Simplify right side
    3,548.82x = 9,681,748.24
  5. Step 5: Solve for x
    x = 9,681,748.24/3,548.82
  6. Step 6: Final answer
    x = 2,728.16

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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.