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Finding the Fourth Proportional to 3,716.94, 5,132.43 and 2,320.14

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Solution

The fourth proportional to 3,716.94, 5,132.43 and 2,320.14 is: 3,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.94 : 5,132.43 = 2,320.14 : x
  2. Step 2: Convert to fraction form
    3,716.94/5,132.43 = 2,320.14/x
  3. Step 3: Cross multiply
    3,716.94x = 5,132.43 × 2,320.14
  4. Step 4: Simplify right side
    3,716.94x = 11,907,956.14
  5. Step 5: Solve for x
    x = 11,907,956.14/3,716.94
  6. Step 6: Final answer
    x = 3,203.70

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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.