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Finding the Fourth Proportional to 3,716.84, 5,129.25 and 2,144.93

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Solution

The fourth proportional to 3,716.84, 5,129.25 and 2,144.93 is: 2,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.84 : 5,129.25 = 2,144.93 : x
  2. Step 2: Convert to fraction form
    3,716.84/5,129.25 = 2,144.93/x
  3. Step 3: Cross multiply
    3,716.84x = 5,129.25 × 2,144.93
  4. Step 4: Simplify right side
    3,716.84x = 11,001,895.03
  5. Step 5: Solve for x
    x = 11,001,895.03/3,716.84
  6. Step 6: Final answer
    x = 2,960.02

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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.