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Finding the Fourth Proportional to 3,456.12, 5,184.10 and 859.06

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Solution

The fourth proportional to 3,456.12, 5,184.10 and 859.06 is: 1,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.12 : 5,184.10 = 859.06 : x
  2. Step 2: Convert to fraction form
    3,456.12/5,184.10 = 859.06/x
  3. Step 3: Cross multiply
    3,456.12x = 5,184.10 × 859.06
  4. Step 4: Simplify right side
    3,456.12x = 4,453,452.95
  5. Step 5: Solve for x
    x = 4,453,452.95/3,456.12
  6. Step 6: Final answer
    x = 1,288.57

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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.