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Finding the Fourth Proportional to 5,236.67, 7,848.05 and 2,858.64

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Solution

The fourth proportional to 5,236.67, 7,848.05 and 2,858.64 is: 4,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.67 : 7,848.05 = 2,858.64 : x
  2. Step 2: Convert to fraction form
    5,236.67/7,848.05 = 2,858.64/x
  3. Step 3: Cross multiply
    5,236.67x = 7,848.05 × 2,858.64
  4. Step 4: Simplify right side
    5,236.67x = 22,434,735.36
  5. Step 5: Solve for x
    x = 22,434,735.36/5,236.67
  6. Step 6: Final answer
    x = 4,284.16

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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.