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Finding the Fourth Proportional to 5,803.89, 8,737.67 and 3,966.81

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Solution

The fourth proportional to 5,803.89, 8,737.67 and 3,966.81 is: 5,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.89 : 8,737.67 = 3,966.81 : x
  2. Step 2: Convert to fraction form
    5,803.89/8,737.67 = 3,966.81/x
  3. Step 3: Cross multiply
    5,803.89x = 8,737.67 × 3,966.81
  4. Step 4: Simplify right side
    5,803.89x = 34,660,676.73
  5. Step 5: Solve for x
    x = 34,660,676.73/5,803.89
  6. Step 6: Final answer
    x = 5,971.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.