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Finding the Fourth Proportional to 5,107.90, 7,661.84 and 1,410.12

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Solution

The fourth proportional to 5,107.90, 7,661.84 and 1,410.12 is: 2,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.90 : 7,661.84 = 1,410.12 : x
  2. Step 2: Convert to fraction form
    5,107.90/7,661.84 = 1,410.12/x
  3. Step 3: Cross multiply
    5,107.90x = 7,661.84 × 1,410.12
  4. Step 4: Simplify right side
    5,107.90x = 10,804,113.82
  5. Step 5: Solve for x
    x = 10,804,113.82/5,107.90
  6. Step 6: Final answer
    x = 2,115.18

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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.