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Finding the Fourth Proportional to 4,283.67, 6,412.55 and 3,959.67

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Solution

The fourth proportional to 4,283.67, 6,412.55 and 3,959.67 is: 5,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.67 : 6,412.55 = 3,959.67 : x
  2. Step 2: Convert to fraction form
    4,283.67/6,412.55 = 3,959.67/x
  3. Step 3: Cross multiply
    4,283.67x = 6,412.55 × 3,959.67
  4. Step 4: Simplify right side
    4,283.67x = 25,391,562.06
  5. Step 5: Solve for x
    x = 25,391,562.06/4,283.67
  6. Step 6: Final answer
    x = 5,927.53

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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.