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Finding the Fourth Proportional to 5,108.06, 7,661.93 and 1,410.51

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Solution

The fourth proportional to 5,108.06, 7,661.93 and 1,410.51 is: 2,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.06 : 7,661.93 = 1,410.51 : x
  2. Step 2: Convert to fraction form
    5,108.06/7,661.93 = 1,410.51/x
  3. Step 3: Cross multiply
    5,108.06x = 7,661.93 × 1,410.51
  4. Step 4: Simplify right side
    5,108.06x = 10,807,221.83
  5. Step 5: Solve for x
    x = 10,807,221.83/5,108.06
  6. Step 6: Final answer
    x = 2,115.72

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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.