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Finding the Fourth Proportional to 7,351.46, 11,029 and 3,655.44

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Solution

The fourth proportional to 7,351.46, 11,029 and 3,655.44 is: 5,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.46 : 11,029 = 3,655.44 : x
  2. Step 2: Convert to fraction form
    7,351.46/11,029 = 3,655.44/x
  3. Step 3: Cross multiply
    7,351.46x = 11,029 × 3,655.44
  4. Step 4: Simplify right side
    7,351.46x = 40,315,847.76
  5. Step 5: Solve for x
    x = 40,315,847.76/7,351.46
  6. Step 6: Final answer
    x = 5,484.06

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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.