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Finding the Fourth Proportional to 3,548.65, 4,897 and 1,976.71

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Solution

The fourth proportional to 3,548.65, 4,897 and 1,976.71 is: 2,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.65 : 4,897 = 1,976.71 : x
  2. Step 2: Convert to fraction form
    3,548.65/4,897 = 1,976.71/x
  3. Step 3: Cross multiply
    3,548.65x = 4,897 × 1,976.71
  4. Step 4: Simplify right side
    3,548.65x = 9,679,948.87
  5. Step 5: Solve for x
    x = 9,679,948.87/3,548.65
  6. Step 6: Final answer
    x = 2,727.78

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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.