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Finding the Fourth Proportional to 5,864.78, 8,794.80 and 2,115.50

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Solution

The fourth proportional to 5,864.78, 8,794.80 and 2,115.50 is: 3,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.78 : 8,794.80 = 2,115.50 : x
  2. Step 2: Convert to fraction form
    5,864.78/8,794.80 = 2,115.50/x
  3. Step 3: Cross multiply
    5,864.78x = 8,794.80 × 2,115.50
  4. Step 4: Simplify right side
    5,864.78x = 18,605,399.40
  5. Step 5: Solve for x
    x = 18,605,399.40/5,864.78
  6. Step 6: Final answer
    x = 3,172.40

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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.