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Finding the Fourth Proportional to 3,783.91, 5,671.40 and 1,701.47

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Solution

The fourth proportional to 3,783.91, 5,671.40 and 1,701.47 is: 2,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.91 : 5,671.40 = 1,701.47 : x
  2. Step 2: Convert to fraction form
    3,783.91/5,671.40 = 1,701.47/x
  3. Step 3: Cross multiply
    3,783.91x = 5,671.40 × 1,701.47
  4. Step 4: Simplify right side
    3,783.91x = 9,649,680.09
  5. Step 5: Solve for x
    x = 9,649,680.09/3,783.91
  6. Step 6: Final answer
    x = 2,550.19

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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.