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Finding the Fourth Proportional to 4,877.01, 7,315.43 and 1,414.26

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Solution

The fourth proportional to 4,877.01, 7,315.43 and 1,414.26 is: 2,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.01 : 7,315.43 = 1,414.26 : x
  2. Step 2: Convert to fraction form
    4,877.01/7,315.43 = 1,414.26/x
  3. Step 3: Cross multiply
    4,877.01x = 7,315.43 × 1,414.26
  4. Step 4: Simplify right side
    4,877.01x = 10,345,912.96
  5. Step 5: Solve for x
    x = 10,345,912.96/4,877.01
  6. Step 6: Final answer
    x = 2,121.36

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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.