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Finding the Fourth Proportional to 4,962.66, 7,442.25 and 2,000.22

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Solution

The fourth proportional to 4,962.66, 7,442.25 and 2,000.22 is: 2,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.66 : 7,442.25 = 2,000.22 : x
  2. Step 2: Convert to fraction form
    4,962.66/7,442.25 = 2,000.22/x
  3. Step 3: Cross multiply
    4,962.66x = 7,442.25 × 2,000.22
  4. Step 4: Simplify right side
    4,962.66x = 14,886,137.30
  5. Step 5: Solve for x
    x = 14,886,137.30/4,962.66
  6. Step 6: Final answer
    x = 2,999.63

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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.