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Finding the Fourth Proportional to 3,408.69, 4,703.94 and 2,287.89

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Solution

The fourth proportional to 3,408.69, 4,703.94 and 2,287.89 is: 3,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.69 : 4,703.94 = 2,287.89 : x
  2. Step 2: Convert to fraction form
    3,408.69/4,703.94 = 2,287.89/x
  3. Step 3: Cross multiply
    3,408.69x = 4,703.94 × 2,287.89
  4. Step 4: Simplify right side
    3,408.69x = 10,762,097.29
  5. Step 5: Solve for x
    x = 10,762,097.29/3,408.69
  6. Step 6: Final answer
    x = 3,157.25

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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.