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Finding the Fourth Proportional to 4,680.67, 6,459.22 and 3,085.39

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Solution

The fourth proportional to 4,680.67, 6,459.22 and 3,085.39 is: 4,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.67 : 6,459.22 = 3,085.39 : x
  2. Step 2: Convert to fraction form
    4,680.67/6,459.22 = 3,085.39/x
  3. Step 3: Cross multiply
    4,680.67x = 6,459.22 × 3,085.39
  4. Step 4: Simplify right side
    4,680.67x = 19,929,212.80
  5. Step 5: Solve for x
    x = 19,929,212.80/4,680.67
  6. Step 6: Final answer
    x = 4,257.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.