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Finding the Fourth Proportional to 5,811.56, 8,022.41 and 3,925.70

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Solution

The fourth proportional to 5,811.56, 8,022.41 and 3,925.70 is: 5,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.56 : 8,022.41 = 3,925.70 : x
  2. Step 2: Convert to fraction form
    5,811.56/8,022.41 = 3,925.70/x
  3. Step 3: Cross multiply
    5,811.56x = 8,022.41 × 3,925.70
  4. Step 4: Simplify right side
    5,811.56x = 31,493,574.94
  5. Step 5: Solve for x
    x = 31,493,574.94/5,811.56
  6. Step 6: Final answer
    x = 5,419.13

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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.