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Finding the Fourth Proportional to 4,235.80, 6,349.14 and 1,768.76

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Solution

The fourth proportional to 4,235.80, 6,349.14 and 1,768.76 is: 2,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.80 : 6,349.14 = 1,768.76 : x
  2. Step 2: Convert to fraction form
    4,235.80/6,349.14 = 1,768.76/x
  3. Step 3: Cross multiply
    4,235.80x = 6,349.14 × 1,768.76
  4. Step 4: Simplify right side
    4,235.80x = 11,230,104.87
  5. Step 5: Solve for x
    x = 11,230,104.87/4,235.80
  6. Step 6: Final answer
    x = 2,651.24

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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.