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Finding the Fourth Proportional to 3,361.74, 5,043.06 and 1,021.47

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Solution

The fourth proportional to 3,361.74, 5,043.06 and 1,021.47 is: 1,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.74 : 5,043.06 = 1,021.47 : x
  2. Step 2: Convert to fraction form
    3,361.74/5,043.06 = 1,021.47/x
  3. Step 3: Cross multiply
    3,361.74x = 5,043.06 × 1,021.47
  4. Step 4: Simplify right side
    3,361.74x = 5,151,334.50
  5. Step 5: Solve for x
    x = 5,151,334.50/3,361.74
  6. Step 6: Final answer
    x = 1,532.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.