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Finding the Fourth Proportional to 5,682.78, 8,510.94 and 5,485.73

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Solution

The fourth proportional to 5,682.78, 8,510.94 and 5,485.73 is: 8,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.78 : 8,510.94 = 5,485.73 : x
  2. Step 2: Convert to fraction form
    5,682.78/8,510.94 = 5,485.73/x
  3. Step 3: Cross multiply
    5,682.78x = 8,510.94 × 5,485.73
  4. Step 4: Simplify right side
    5,682.78x = 46,688,676.33
  5. Step 5: Solve for x
    x = 46,688,676.33/5,682.78
  6. Step 6: Final answer
    x = 8,215.82

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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.