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Finding the Fourth Proportional to 3,456.64, 5,184.82 and 859.52

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Solution

The fourth proportional to 3,456.64, 5,184.82 and 859.52 is: 1,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.64 : 5,184.82 = 859.52 : x
  2. Step 2: Convert to fraction form
    3,456.64/5,184.82 = 859.52/x
  3. Step 3: Cross multiply
    3,456.64x = 5,184.82 × 859.52
  4. Step 4: Simplify right side
    3,456.64x = 4,456,456.49
  5. Step 5: Solve for x
    x = 4,456,456.49/3,456.64
  6. Step 6: Final answer
    x = 1,289.25

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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.