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Finding the Fourth Proportional to 3,833.64, 5,300.78 and 3,656.25

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Solution

The fourth proportional to 3,833.64, 5,300.78 and 3,656.25 is: 5,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.64 : 5,300.78 = 3,656.25 : x
  2. Step 2: Convert to fraction form
    3,833.64/5,300.78 = 3,656.25/x
  3. Step 3: Cross multiply
    3,833.64x = 5,300.78 × 3,656.25
  4. Step 4: Simplify right side
    3,833.64x = 19,380,958.59
  5. Step 5: Solve for x
    x = 19,380,958.59/3,833.64
  6. Step 6: Final answer
    x = 5,055.50

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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.