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Finding the Fourth Proportional to 4,235.80, 6,354.81 and 1,462.67

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Solution

The fourth proportional to 4,235.80, 6,354.81 and 1,462.67 is: 2,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.80 : 6,354.81 = 1,462.67 : x
  2. Step 2: Convert to fraction form
    4,235.80/6,354.81 = 1,462.67/x
  3. Step 3: Cross multiply
    4,235.80x = 6,354.81 × 1,462.67
  4. Step 4: Simplify right side
    4,235.80x = 9,294,958.17
  5. Step 5: Solve for x
    x = 9,294,958.17/4,235.80
  6. Step 6: Final answer
    x = 2,194.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.