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Finding the Fourth Proportional to 3,836.52, 5,283.72 and 3,564.36

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Solution

The fourth proportional to 3,836.52, 5,283.72 and 3,564.36 is: 4,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.52 : 5,283.72 = 3,564.36 : x
  2. Step 2: Convert to fraction form
    3,836.52/5,283.72 = 3,564.36/x
  3. Step 3: Cross multiply
    3,836.52x = 5,283.72 × 3,564.36
  4. Step 4: Simplify right side
    3,836.52x = 18,833,080.22
  5. Step 5: Solve for x
    x = 18,833,080.22/3,836.52
  6. Step 6: Final answer
    x = 4,908.90

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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.