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Finding the Fourth Proportional to 5,924.16, 8,886.24 and 2,844

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Solution

The fourth proportional to 5,924.16, 8,886.24 and 2,844 is: 4,266

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.16 : 8,886.24 = 2,844 : x
  2. Step 2: Convert to fraction form
    5,924.16/8,886.24 = 2,844/x
  3. Step 3: Cross multiply
    5,924.16x = 8,886.24 × 2,844
  4. Step 4: Simplify right side
    5,924.16x = 25,272,466.56
  5. Step 5: Solve for x
    x = 25,272,466.56/5,924.16
  6. Step 6: Final answer
    x = 4,266

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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.