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Finding the Fourth Proportional to 3,853.90, 5,324.97 and 3,430.54

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Solution

The fourth proportional to 3,853.90, 5,324.97 and 3,430.54 is: 4,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.90 : 5,324.97 = 3,430.54 : x
  2. Step 2: Convert to fraction form
    3,853.90/5,324.97 = 3,430.54/x
  3. Step 3: Cross multiply
    3,853.90x = 5,324.97 × 3,430.54
  4. Step 4: Simplify right side
    3,853.90x = 18,267,522.58
  5. Step 5: Solve for x
    x = 18,267,522.58/3,853.90
  6. Step 6: Final answer
    x = 4,740.01

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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.