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Finding the Fourth Proportional to 3,968.47, 5,477.03 and 3,022.93

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Solution

The fourth proportional to 3,968.47, 5,477.03 and 3,022.93 is: 4,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.47 : 5,477.03 = 3,022.93 : x
  2. Step 2: Convert to fraction form
    3,968.47/5,477.03 = 3,022.93/x
  3. Step 3: Cross multiply
    3,968.47x = 5,477.03 × 3,022.93
  4. Step 4: Simplify right side
    3,968.47x = 16,556,678.30
  5. Step 5: Solve for x
    x = 16,556,678.30/3,968.47
  6. Step 6: Final answer
    x = 4,172.06

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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.