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Finding the Fourth Proportional to 5,863.44, 8,794.89 and 2,165.40

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Solution

The fourth proportional to 5,863.44, 8,794.89 and 2,165.40 is: 3,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.44 : 8,794.89 = 2,165.40 : x
  2. Step 2: Convert to fraction form
    5,863.44/8,794.89 = 2,165.40/x
  3. Step 3: Cross multiply
    5,863.44x = 8,794.89 × 2,165.40
  4. Step 4: Simplify right side
    5,863.44x = 19,044,454.81
  5. Step 5: Solve for x
    x = 19,044,454.81/5,863.44
  6. Step 6: Final answer
    x = 3,248.00

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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.