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Finding the Fourth Proportional to 5,660.96, 7,811.31 and 3,391.76

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Solution

The fourth proportional to 5,660.96, 7,811.31 and 3,391.76 is: 4,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.96 : 7,811.31 = 3,391.76 : x
  2. Step 2: Convert to fraction form
    5,660.96/7,811.31 = 3,391.76/x
  3. Step 3: Cross multiply
    5,660.96x = 7,811.31 × 3,391.76
  4. Step 4: Simplify right side
    5,660.96x = 26,494,088.81
  5. Step 5: Solve for x
    x = 26,494,088.81/5,660.96
  6. Step 6: Final answer
    x = 4,680.14

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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.