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Finding the Fourth Proportional to 5,144.09, 7,718.04 and 1,681.34

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Solution

The fourth proportional to 5,144.09, 7,718.04 and 1,681.34 is: 2,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.09 : 7,718.04 = 1,681.34 : x
  2. Step 2: Convert to fraction form
    5,144.09/7,718.04 = 1,681.34/x
  3. Step 3: Cross multiply
    5,144.09x = 7,718.04 × 1,681.34
  4. Step 4: Simplify right side
    5,144.09x = 12,976,610.78
  5. Step 5: Solve for x
    x = 12,976,610.78/5,144.09
  6. Step 6: Final answer
    x = 2,522.63

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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.