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Finding the Fourth Proportional to 3,456.43, 5,184.64 and 859.37

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Solution

The fourth proportional to 3,456.43, 5,184.64 and 859.37 is: 1,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.43 : 5,184.64 = 859.37 : x
  2. Step 2: Convert to fraction form
    3,456.43/5,184.64 = 859.37/x
  3. Step 3: Cross multiply
    3,456.43x = 5,184.64 × 859.37
  4. Step 4: Simplify right side
    3,456.43x = 4,455,499.23
  5. Step 5: Solve for x
    x = 4,455,499.23/3,456.43
  6. Step 6: Final answer
    x = 1,289.05

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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.