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Finding the Fourth Proportional to 5,462.07, 8,194.16 and 2,341.64

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Solution

The fourth proportional to 5,462.07, 8,194.16 and 2,341.64 is: 3,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.07 : 8,194.16 = 2,341.64 : x
  2. Step 2: Convert to fraction form
    5,462.07/8,194.16 = 2,341.64/x
  3. Step 3: Cross multiply
    5,462.07x = 8,194.16 × 2,341.64
  4. Step 4: Simplify right side
    5,462.07x = 19,187,799.16
  5. Step 5: Solve for x
    x = 19,187,799.16/5,462.07
  6. Step 6: Final answer
    x = 3,512.92

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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.