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Finding the Fourth Proportional to 3,708.48, 5,119 and 2,293.25

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Solution

The fourth proportional to 3,708.48, 5,119 and 2,293.25 is: 3,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.48 : 5,119 = 2,293.25 : x
  2. Step 2: Convert to fraction form
    3,708.48/5,119 = 2,293.25/x
  3. Step 3: Cross multiply
    3,708.48x = 5,119 × 2,293.25
  4. Step 4: Simplify right side
    3,708.48x = 11,739,146.75
  5. Step 5: Solve for x
    x = 11,739,146.75/3,708.48
  6. Step 6: Final answer
    x = 3,165.49

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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.