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Finding the Fourth Proportional to 2,578.07, 3,858.54 and 2,347.49

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Solution

The fourth proportional to 2,578.07, 3,858.54 and 2,347.49 is: 3,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.07 : 3,858.54 = 2,347.49 : x
  2. Step 2: Convert to fraction form
    2,578.07/3,858.54 = 2,347.49/x
  3. Step 3: Cross multiply
    2,578.07x = 3,858.54 × 2,347.49
  4. Step 4: Simplify right side
    2,578.07x = 9,057,853.03
  5. Step 5: Solve for x
    x = 9,057,853.03/2,578.07
  6. Step 6: Final answer
    x = 3,513.43

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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.