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Finding the Fourth Proportional to 4,661.69, 6,435.23 and 3,069.17

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Solution

The fourth proportional to 4,661.69, 6,435.23 and 3,069.17 is: 4,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.69 : 6,435.23 = 3,069.17 : x
  2. Step 2: Convert to fraction form
    4,661.69/6,435.23 = 3,069.17/x
  3. Step 3: Cross multiply
    4,661.69x = 6,435.23 × 3,069.17
  4. Step 4: Simplify right side
    4,661.69x = 19,750,799.51
  5. Step 5: Solve for x
    x = 19,750,799.51/4,661.69
  6. Step 6: Final answer
    x = 4,236.83

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