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Finding the Fourth Proportional to 4,896.66, 6,760.90 and 3,010.77

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Solution

The fourth proportional to 4,896.66, 6,760.90 and 3,010.77 is: 4,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.66 : 6,760.90 = 3,010.77 : x
  2. Step 2: Convert to fraction form
    4,896.66/6,760.90 = 3,010.77/x
  3. Step 3: Cross multiply
    4,896.66x = 6,760.90 × 3,010.77
  4. Step 4: Simplify right side
    4,896.66x = 20,355,514.89
  5. Step 5: Solve for x
    x = 20,355,514.89/4,896.66
  6. Step 6: Final answer
    x = 4,157.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.