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Finding the Fourth Proportional to 4,996.82, 7,495.22 and 2,036.50

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Solution

The fourth proportional to 4,996.82, 7,495.22 and 2,036.50 is: 3,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.82 : 7,495.22 = 2,036.50 : x
  2. Step 2: Convert to fraction form
    4,996.82/7,495.22 = 2,036.50/x
  3. Step 3: Cross multiply
    4,996.82x = 7,495.22 × 2,036.50
  4. Step 4: Simplify right side
    4,996.82x = 15,264,001.88
  5. Step 5: Solve for x
    x = 15,264,001.88/4,996.82
  6. Step 6: Final answer
    x = 3,054.74

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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.