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Finding the Fourth Proportional to 3,576.37, 5,364.57 and 1,266.25

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Solution

The fourth proportional to 3,576.37, 5,364.57 and 1,266.25 is: 1,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.37 : 5,364.57 = 1,266.25 : x
  2. Step 2: Convert to fraction form
    3,576.37/5,364.57 = 1,266.25/x
  3. Step 3: Cross multiply
    3,576.37x = 5,364.57 × 1,266.25
  4. Step 4: Simplify right side
    3,576.37x = 6,792,886.76
  5. Step 5: Solve for x
    x = 6,792,886.76/3,576.37
  6. Step 6: Final answer
    x = 1,899.38

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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.