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Finding the Fourth Proportional to 5,740.66, 7,922.37 and 4,496.50

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Solution

The fourth proportional to 5,740.66, 7,922.37 and 4,496.50 is: 6,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.66 : 7,922.37 = 4,496.50 : x
  2. Step 2: Convert to fraction form
    5,740.66/7,922.37 = 4,496.50/x
  3. Step 3: Cross multiply
    5,740.66x = 7,922.37 × 4,496.50
  4. Step 4: Simplify right side
    5,740.66x = 35,622,936.71
  5. Step 5: Solve for x
    x = 35,622,936.71/5,740.66
  6. Step 6: Final answer
    x = 6,205.37

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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.