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Finding the Fourth Proportional to 3,853, 5,783.66 and 1,909.32

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Solution

The fourth proportional to 3,853, 5,783.66 and 1,909.32 is: 2,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853 : 5,783.66 = 1,909.32 : x
  2. Step 2: Convert to fraction form
    3,853/5,783.66 = 1,909.32/x
  3. Step 3: Cross multiply
    3,853x = 5,783.66 × 1,909.32
  4. Step 4: Simplify right side
    3,853x = 11,042,857.71
  5. Step 5: Solve for x
    x = 11,042,857.71/3,853
  6. Step 6: Final answer
    x = 2,866.04

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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.