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Finding the Fourth Proportional to 3,245.46, 4,874.06 and 2,984.99

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Solution

The fourth proportional to 3,245.46, 4,874.06 and 2,984.99 is: 4,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.46 : 4,874.06 = 2,984.99 : x
  2. Step 2: Convert to fraction form
    3,245.46/4,874.06 = 2,984.99/x
  3. Step 3: Cross multiply
    3,245.46x = 4,874.06 × 2,984.99
  4. Step 4: Simplify right side
    3,245.46x = 14,548,981.06
  5. Step 5: Solve for x
    x = 14,548,981.06/3,245.46
  6. Step 6: Final answer
    x = 4,482.87

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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.