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Finding the Fourth Proportional to 4,962.06, 7,441.21 and 1,999.50

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Solution

The fourth proportional to 4,962.06, 7,441.21 and 1,999.50 is: 2,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.06 : 7,441.21 = 1,999.50 : x
  2. Step 2: Convert to fraction form
    4,962.06/7,441.21 = 1,999.50/x
  3. Step 3: Cross multiply
    4,962.06x = 7,441.21 × 1,999.50
  4. Step 4: Simplify right side
    4,962.06x = 14,878,673.99
  5. Step 5: Solve for x
    x = 14,878,673.99/4,962.06
  6. Step 6: Final answer
    x = 2,998.49

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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.