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Finding the Fourth Proportional to 5,274.62, 7,912.95 and 1,576.77

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Solution

The fourth proportional to 5,274.62, 7,912.95 and 1,576.77 is: 2,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.62 : 7,912.95 = 1,576.77 : x
  2. Step 2: Convert to fraction form
    5,274.62/7,912.95 = 1,576.77/x
  3. Step 3: Cross multiply
    5,274.62x = 7,912.95 × 1,576.77
  4. Step 4: Simplify right side
    5,274.62x = 12,476,877.67
  5. Step 5: Solve for x
    x = 12,476,877.67/5,274.62
  6. Step 6: Final answer
    x = 2,365.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.