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Finding the Fourth Proportional to 3,902.40, 5,853.60 and 3,837.60

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Solution

The fourth proportional to 3,902.40, 5,853.60 and 3,837.60 is: 5,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.40 : 5,853.60 = 3,837.60 : x
  2. Step 2: Convert to fraction form
    3,902.40/5,853.60 = 3,837.60/x
  3. Step 3: Cross multiply
    3,902.40x = 5,853.60 × 3,837.60
  4. Step 4: Simplify right side
    3,902.40x = 22,463,775.36
  5. Step 5: Solve for x
    x = 22,463,775.36/3,902.40
  6. Step 6: Final answer
    x = 5,756.40

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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.