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Finding the Fourth Proportional to 3,889.67, 5,823.68 and 3,329.15

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Solution

The fourth proportional to 3,889.67, 5,823.68 and 3,329.15 is: 4,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.67 : 5,823.68 = 3,329.15 : x
  2. Step 2: Convert to fraction form
    3,889.67/5,823.68 = 3,329.15/x
  3. Step 3: Cross multiply
    3,889.67x = 5,823.68 × 3,329.15
  4. Step 4: Simplify right side
    3,889.67x = 19,387,858.51
  5. Step 5: Solve for x
    x = 19,387,858.51/3,889.67
  6. Step 6: Final answer
    x = 4,984.45

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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.