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Finding the Fourth Proportional to 3,783.36, 5,671.54 and 2,029.58

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Solution

The fourth proportional to 3,783.36, 5,671.54 and 2,029.58 is: 3,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.36 : 5,671.54 = 2,029.58 : x
  2. Step 2: Convert to fraction form
    3,783.36/5,671.54 = 2,029.58/x
  3. Step 3: Cross multiply
    3,783.36x = 5,671.54 × 2,029.58
  4. Step 4: Simplify right side
    3,783.36x = 11,510,844.15
  5. Step 5: Solve for x
    x = 11,510,844.15/3,783.36
  6. Step 6: Final answer
    x = 3,042.49

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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.