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Finding the Fourth Proportional to 4,446.96, 6,132.96 and 3,786

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Solution

The fourth proportional to 4,446.96, 6,132.96 and 3,786 is: 5,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.96 : 6,132.96 = 3,786 : x
  2. Step 2: Convert to fraction form
    4,446.96/6,132.96 = 3,786/x
  3. Step 3: Cross multiply
    4,446.96x = 6,132.96 × 3,786
  4. Step 4: Simplify right side
    4,446.96x = 23,219,386.56
  5. Step 5: Solve for x
    x = 23,219,386.56/4,446.96
  6. Step 6: Final answer
    x = 5,221.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.