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Finding the Fourth Proportional to 4,903.74, 7,356.96 and 2,129.22

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Solution

The fourth proportional to 4,903.74, 7,356.96 and 2,129.22 is: 3,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.74 : 7,356.96 = 2,129.22 : x
  2. Step 2: Convert to fraction form
    4,903.74/7,356.96 = 2,129.22/x
  3. Step 3: Cross multiply
    4,903.74x = 7,356.96 × 2,129.22
  4. Step 4: Simplify right side
    4,903.74x = 15,664,586.37
  5. Step 5: Solve for x
    x = 15,664,586.37/4,903.74
  6. Step 6: Final answer
    x = 3,194.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.