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Finding the Fourth Proportional to 3,811.46, 5,717.59 and 1,346.22

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Solution

The fourth proportional to 3,811.46, 5,717.59 and 1,346.22 is: 2,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.46 : 5,717.59 = 1,346.22 : x
  2. Step 2: Convert to fraction form
    3,811.46/5,717.59 = 1,346.22/x
  3. Step 3: Cross multiply
    3,811.46x = 5,717.59 × 1,346.22
  4. Step 4: Simplify right side
    3,811.46x = 7,697,130.64
  5. Step 5: Solve for x
    x = 7,697,130.64/3,811.46
  6. Step 6: Final answer
    x = 2,019.47

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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.