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Finding the Fourth Proportional to 3,610.02, 5,415.03 and 874.02

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Solution

The fourth proportional to 3,610.02, 5,415.03 and 874.02 is: 1,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.02 : 5,415.03 = 874.02 : x
  2. Step 2: Convert to fraction form
    3,610.02/5,415.03 = 874.02/x
  3. Step 3: Cross multiply
    3,610.02x = 5,415.03 × 874.02
  4. Step 4: Simplify right side
    3,610.02x = 4,732,844.52
  5. Step 5: Solve for x
    x = 4,732,844.52/3,610.02
  6. Step 6: Final answer
    x = 1,311.03

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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.