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Finding the Fourth Proportional to 3,196.86, 4,411.71 and 1,871.34

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Solution

The fourth proportional to 3,196.86, 4,411.71 and 1,871.34 is: 2,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.86 : 4,411.71 = 1,871.34 : x
  2. Step 2: Convert to fraction form
    3,196.86/4,411.71 = 1,871.34/x
  3. Step 3: Cross multiply
    3,196.86x = 4,411.71 × 1,871.34
  4. Step 4: Simplify right side
    3,196.86x = 8,255,809.39
  5. Step 5: Solve for x
    x = 8,255,809.39/3,196.86
  6. Step 6: Final answer
    x = 2,582.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.