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Finding the Fourth Proportional to 3,456.57, 5,184.86 and 859.51

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Solution

The fourth proportional to 3,456.57, 5,184.86 and 859.51 is: 1,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.57 : 5,184.86 = 859.51 : x
  2. Step 2: Convert to fraction form
    3,456.57/5,184.86 = 859.51/x
  3. Step 3: Cross multiply
    3,456.57x = 5,184.86 × 859.51
  4. Step 4: Simplify right side
    3,456.57x = 4,456,434.72
  5. Step 5: Solve for x
    x = 4,456,434.72/3,456.57
  6. Step 6: Final answer
    x = 1,289.27

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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.