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Finding the Fourth Proportional to 4,512.34, 6,768.42 and 2,319.94

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Solution

The fourth proportional to 4,512.34, 6,768.42 and 2,319.94 is: 3,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.34 : 6,768.42 = 2,319.94 : x
  2. Step 2: Convert to fraction form
    4,512.34/6,768.42 = 2,319.94/x
  3. Step 3: Cross multiply
    4,512.34x = 6,768.42 × 2,319.94
  4. Step 4: Simplify right side
    4,512.34x = 15,702,328.29
  5. Step 5: Solve for x
    x = 15,702,328.29/4,512.34
  6. Step 6: Final answer
    x = 3,479.86

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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.