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Finding the Fourth Proportional to 4,373.95, 6,561 and 2,438.46

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Solution

The fourth proportional to 4,373.95, 6,561 and 2,438.46 is: 3,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,373.95 : 6,561 = 2,438.46 : x
  2. Step 2: Convert to fraction form
    4,373.95/6,561 = 2,438.46/x
  3. Step 3: Cross multiply
    4,373.95x = 6,561 × 2,438.46
  4. Step 4: Simplify right side
    4,373.95x = 15,998,736.06
  5. Step 5: Solve for x
    x = 15,998,736.06/4,373.95
  6. Step 6: Final answer
    x = 3,657.73

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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.