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Finding the Fourth Proportional to 3,818.25, 5,725.53 and 1,476.54

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Solution

The fourth proportional to 3,818.25, 5,725.53 and 1,476.54 is: 2,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.25 : 5,725.53 = 1,476.54 : x
  2. Step 2: Convert to fraction form
    3,818.25/5,725.53 = 1,476.54/x
  3. Step 3: Cross multiply
    3,818.25x = 5,725.53 × 1,476.54
  4. Step 4: Simplify right side
    3,818.25x = 8,453,974.07
  5. Step 5: Solve for x
    x = 8,453,974.07/3,818.25
  6. Step 6: Final answer
    x = 2,214.10

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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.