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Finding the Fourth Proportional to 4,159, 6,238.55 and 1,197.54

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Solution

The fourth proportional to 4,159, 6,238.55 and 1,197.54 is: 1,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159 : 6,238.55 = 1,197.54 : x
  2. Step 2: Convert to fraction form
    4,159/6,238.55 = 1,197.54/x
  3. Step 3: Cross multiply
    4,159x = 6,238.55 × 1,197.54
  4. Step 4: Simplify right side
    4,159x = 7,470,913.17
  5. Step 5: Solve for x
    x = 7,470,913.17/4,159
  6. Step 6: Final answer
    x = 1,796.32

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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.