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Finding the Fourth Proportional to 5,419.94, 7,478.22 and 3,740.82

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Solution

The fourth proportional to 5,419.94, 7,478.22 and 3,740.82 is: 5,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.94 : 7,478.22 = 3,740.82 : x
  2. Step 2: Convert to fraction form
    5,419.94/7,478.22 = 3,740.82/x
  3. Step 3: Cross multiply
    5,419.94x = 7,478.22 × 3,740.82
  4. Step 4: Simplify right side
    5,419.94x = 27,974,674.94
  5. Step 5: Solve for x
    x = 27,974,674.94/5,419.94
  6. Step 6: Final answer
    x = 5,161.44

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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.