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Finding the Fourth Proportional to 3,235.16, 4,849.68 and 1,285.76

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Solution

The fourth proportional to 3,235.16, 4,849.68 and 1,285.76 is: 1,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.16 : 4,849.68 = 1,285.76 : x
  2. Step 2: Convert to fraction form
    3,235.16/4,849.68 = 1,285.76/x
  3. Step 3: Cross multiply
    3,235.16x = 4,849.68 × 1,285.76
  4. Step 4: Simplify right side
    3,235.16x = 6,235,524.56
  5. Step 5: Solve for x
    x = 6,235,524.56/3,235.16
  6. Step 6: Final answer
    x = 1,927.42

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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.