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Finding the Fourth Proportional to 3,402.93, 5,106.37 and 1,324.37

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Solution

The fourth proportional to 3,402.93, 5,106.37 and 1,324.37 is: 1,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.93 : 5,106.37 = 1,324.37 : x
  2. Step 2: Convert to fraction form
    3,402.93/5,106.37 = 1,324.37/x
  3. Step 3: Cross multiply
    3,402.93x = 5,106.37 × 1,324.37
  4. Step 4: Simplify right side
    3,402.93x = 6,762,723.24
  5. Step 5: Solve for x
    x = 6,762,723.24/3,402.93
  6. Step 6: Final answer
    x = 1,987.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.