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Finding the Fourth Proportional to 5,205.36, 7,805.12 and 3,563.76

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Solution

The fourth proportional to 5,205.36, 7,805.12 and 3,563.76 is: 5,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.36 : 7,805.12 = 3,563.76 : x
  2. Step 2: Convert to fraction form
    5,205.36/7,805.12 = 3,563.76/x
  3. Step 3: Cross multiply
    5,205.36x = 7,805.12 × 3,563.76
  4. Step 4: Simplify right side
    5,205.36x = 27,815,574.45
  5. Step 5: Solve for x
    x = 27,815,574.45/5,205.36
  6. Step 6: Final answer
    x = 5,343.64

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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.