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Finding the Fourth Proportional to 5,406.04, 7,462.19 and 3,168.64

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Solution

The fourth proportional to 5,406.04, 7,462.19 and 3,168.64 is: 4,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.04 : 7,462.19 = 3,168.64 : x
  2. Step 2: Convert to fraction form
    5,406.04/7,462.19 = 3,168.64/x
  3. Step 3: Cross multiply
    5,406.04x = 7,462.19 × 3,168.64
  4. Step 4: Simplify right side
    5,406.04x = 23,644,959.22
  5. Step 5: Solve for x
    x = 23,644,959.22/5,406.04
  6. Step 6: Final answer
    x = 4,373.81

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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.