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Finding the Fourth Proportional to 4,996.44, 7,489.08 and 2,071.08

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Solution

The fourth proportional to 4,996.44, 7,489.08 and 2,071.08 is: 3,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.44 : 7,489.08 = 2,071.08 : x
  2. Step 2: Convert to fraction form
    4,996.44/7,489.08 = 2,071.08/x
  3. Step 3: Cross multiply
    4,996.44x = 7,489.08 × 2,071.08
  4. Step 4: Simplify right side
    4,996.44x = 15,510,483.81
  5. Step 5: Solve for x
    x = 15,510,483.81/4,996.44
  6. Step 6: Final answer
    x = 3,104.31

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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.