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Finding the Fourth Proportional to 4,993.56, 7,491.60 and 2,071.26

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Solution

The fourth proportional to 4,993.56, 7,491.60 and 2,071.26 is: 3,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.56 : 7,491.60 = 2,071.26 : x
  2. Step 2: Convert to fraction form
    4,993.56/7,491.60 = 2,071.26/x
  3. Step 3: Cross multiply
    4,993.56x = 7,491.60 × 2,071.26
  4. Step 4: Simplify right side
    4,993.56x = 15,517,051.42
  5. Step 5: Solve for x
    x = 15,517,051.42/4,993.56
  6. Step 6: Final answer
    x = 3,107.41

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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.