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Finding the Fourth Proportional to 4,234.67, 6,352.60 and 1,768.93

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Solution

The fourth proportional to 4,234.67, 6,352.60 and 1,768.93 is: 2,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.67 : 6,352.60 = 1,768.93 : x
  2. Step 2: Convert to fraction form
    4,234.67/6,352.60 = 1,768.93/x
  3. Step 3: Cross multiply
    4,234.67x = 6,352.60 × 1,768.93
  4. Step 4: Simplify right side
    4,234.67x = 11,237,304.72
  5. Step 5: Solve for x
    x = 11,237,304.72/4,234.67
  6. Step 6: Final answer
    x = 2,653.64

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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.