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Finding the Fourth Proportional to 3,514.98, 5,270.94 and 1,871.16

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Solution

The fourth proportional to 3,514.98, 5,270.94 and 1,871.16 is: 2,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.98 : 5,270.94 = 1,871.16 : x
  2. Step 2: Convert to fraction form
    3,514.98/5,270.94 = 1,871.16/x
  3. Step 3: Cross multiply
    3,514.98x = 5,270.94 × 1,871.16
  4. Step 4: Simplify right side
    3,514.98x = 9,862,772.09
  5. Step 5: Solve for x
    x = 9,862,772.09/3,514.98
  6. Step 6: Final answer
    x = 2,805.93

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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.