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Finding the Fourth Proportional to 4,762.44, 7,139.88 and 2,162.34

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Solution

The fourth proportional to 4,762.44, 7,139.88 and 2,162.34 is: 3,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.44 : 7,139.88 = 2,162.34 : x
  2. Step 2: Convert to fraction form
    4,762.44/7,139.88 = 2,162.34/x
  3. Step 3: Cross multiply
    4,762.44x = 7,139.88 × 2,162.34
  4. Step 4: Simplify right side
    4,762.44x = 15,438,848.12
  5. Step 5: Solve for x
    x = 15,438,848.12/4,762.44
  6. Step 6: Final answer
    x = 3,241.79

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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.