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Finding the Fourth Proportional to 5,441.50, 7,503.06 and 3,670

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Solution

The fourth proportional to 5,441.50, 7,503.06 and 3,670 is: 5,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.50 : 7,503.06 = 3,670 : x
  2. Step 2: Convert to fraction form
    5,441.50/7,503.06 = 3,670/x
  3. Step 3: Cross multiply
    5,441.50x = 7,503.06 × 3,670
  4. Step 4: Simplify right side
    5,441.50x = 27,536,230.20
  5. Step 5: Solve for x
    x = 27,536,230.20/5,441.50
  6. Step 6: Final answer
    x = 5,060.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.