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Finding the Fourth Proportional to 5,714.41, 7,885.51 and 3,196.08

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Solution

The fourth proportional to 5,714.41, 7,885.51 and 3,196.08 is: 4,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.41 : 7,885.51 = 3,196.08 : x
  2. Step 2: Convert to fraction form
    5,714.41/7,885.51 = 3,196.08/x
  3. Step 3: Cross multiply
    5,714.41x = 7,885.51 × 3,196.08
  4. Step 4: Simplify right side
    5,714.41x = 25,202,718.80
  5. Step 5: Solve for x
    x = 25,202,718.80/5,714.41
  6. Step 6: Final answer
    x = 4,410.38

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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.