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Finding the Fourth Proportional to 3,322, 4,984.76 and 3,153.07

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Solution

The fourth proportional to 3,322, 4,984.76 and 3,153.07 is: 4,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322 : 4,984.76 = 3,153.07 : x
  2. Step 2: Convert to fraction form
    3,322/4,984.76 = 3,153.07/x
  3. Step 3: Cross multiply
    3,322x = 4,984.76 × 3,153.07
  4. Step 4: Simplify right side
    3,322x = 15,717,297.21
  5. Step 5: Solve for x
    x = 15,717,297.21/3,322
  6. Step 6: Final answer
    x = 4,731.28

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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.