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Finding the Fourth Proportional to 5,107.75, 7,661.63 and 1,410.01

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Solution

The fourth proportional to 5,107.75, 7,661.63 and 1,410.01 is: 2,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.75 : 7,661.63 = 1,410.01 : x
  2. Step 2: Convert to fraction form
    5,107.75/7,661.63 = 1,410.01/x
  3. Step 3: Cross multiply
    5,107.75x = 7,661.63 × 1,410.01
  4. Step 4: Simplify right side
    5,107.75x = 10,802,974.92
  5. Step 5: Solve for x
    x = 10,802,974.92/5,107.75
  6. Step 6: Final answer
    x = 2,115.02

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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.