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Finding the Fourth Proportional to 5,848.79, 8,775.06 and 2,098.04

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Solution

The fourth proportional to 5,848.79, 8,775.06 and 2,098.04 is: 3,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.79 : 8,775.06 = 2,098.04 : x
  2. Step 2: Convert to fraction form
    5,848.79/8,775.06 = 2,098.04/x
  3. Step 3: Cross multiply
    5,848.79x = 8,775.06 × 2,098.04
  4. Step 4: Simplify right side
    5,848.79x = 18,410,375.14
  5. Step 5: Solve for x
    x = 18,410,375.14/5,848.79
  6. Step 6: Final answer
    x = 3,147.73

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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.