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Finding the Fourth Proportional to 5,584.04, 7,705.94 and 3,066.19

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Solution

The fourth proportional to 5,584.04, 7,705.94 and 3,066.19 is: 4,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.04 : 7,705.94 = 3,066.19 : x
  2. Step 2: Convert to fraction form
    5,584.04/7,705.94 = 3,066.19/x
  3. Step 3: Cross multiply
    5,584.04x = 7,705.94 × 3,066.19
  4. Step 4: Simplify right side
    5,584.04x = 23,627,860.84
  5. Step 5: Solve for x
    x = 23,627,860.84/5,584.04
  6. Step 6: Final answer
    x = 4,231.32

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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.