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Finding the Fourth Proportional to 5,863.04, 8,094.30 and 3,878.36

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Solution

The fourth proportional to 5,863.04, 8,094.30 and 3,878.36 is: 5,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.04 : 8,094.30 = 3,878.36 : x
  2. Step 2: Convert to fraction form
    5,863.04/8,094.30 = 3,878.36/x
  3. Step 3: Cross multiply
    5,863.04x = 8,094.30 × 3,878.36
  4. Step 4: Simplify right side
    5,863.04x = 31,392,609.35
  5. Step 5: Solve for x
    x = 31,392,609.35/5,863.04
  6. Step 6: Final answer
    x = 5,354.32

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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.