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Finding the Fourth Proportional to 5,896.64, 8,848.40 and 2,201.42

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Solution

The fourth proportional to 5,896.64, 8,848.40 and 2,201.42 is: 3,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.64 : 8,848.40 = 2,201.42 : x
  2. Step 2: Convert to fraction form
    5,896.64/8,848.40 = 2,201.42/x
  3. Step 3: Cross multiply
    5,896.64x = 8,848.40 × 2,201.42
  4. Step 4: Simplify right side
    5,896.64x = 19,479,044.73
  5. Step 5: Solve for x
    x = 19,479,044.73/5,896.64
  6. Step 6: Final answer
    x = 3,303.41

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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.