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Finding the Fourth Proportional to 3,907.96, 5,389.68 and 3,519.16

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Solution

The fourth proportional to 3,907.96, 5,389.68 and 3,519.16 is: 4,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.96 : 5,389.68 = 3,519.16 : x
  2. Step 2: Convert to fraction form
    3,907.96/5,389.68 = 3,519.16/x
  3. Step 3: Cross multiply
    3,907.96x = 5,389.68 × 3,519.16
  4. Step 4: Simplify right side
    3,907.96x = 18,967,146.27
  5. Step 5: Solve for x
    x = 18,967,146.27/3,907.96
  6. Step 6: Final answer
    x = 4,853.46

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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.