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Finding the Fourth Proportional to 5,674.22, 7,830.42 and 3,316.36

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Solution

The fourth proportional to 5,674.22, 7,830.42 and 3,316.36 is: 4,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.22 : 7,830.42 = 3,316.36 : x
  2. Step 2: Convert to fraction form
    5,674.22/7,830.42 = 3,316.36/x
  3. Step 3: Cross multiply
    5,674.22x = 7,830.42 × 3,316.36
  4. Step 4: Simplify right side
    5,674.22x = 25,968,493.00
  5. Step 5: Solve for x
    x = 25,968,493.00/5,674.22
  6. Step 6: Final answer
    x = 4,576.58

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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.