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Finding the Fourth Proportional to 3,965.86, 5,948.89 and 1,886.09

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Solution

The fourth proportional to 3,965.86, 5,948.89 and 1,886.09 is: 2,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.86 : 5,948.89 = 1,886.09 : x
  2. Step 2: Convert to fraction form
    3,965.86/5,948.89 = 1,886.09/x
  3. Step 3: Cross multiply
    3,965.86x = 5,948.89 × 1,886.09
  4. Step 4: Simplify right side
    3,965.86x = 11,220,118.09
  5. Step 5: Solve for x
    x = 11,220,118.09/3,965.86
  6. Step 6: Final answer
    x = 2,829.18

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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.