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Finding the Fourth Proportional to 3,848.16, 5,308.32 and 2,355.84

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Solution

The fourth proportional to 3,848.16, 5,308.32 and 2,355.84 is: 3,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.16 : 5,308.32 = 2,355.84 : x
  2. Step 2: Convert to fraction form
    3,848.16/5,308.32 = 2,355.84/x
  3. Step 3: Cross multiply
    3,848.16x = 5,308.32 × 2,355.84
  4. Step 4: Simplify right side
    3,848.16x = 12,505,552.59
  5. Step 5: Solve for x
    x = 12,505,552.59/3,848.16
  6. Step 6: Final answer
    x = 3,249.75

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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.