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Finding the Fourth Proportional to 4,661.68, 6,999.41 and 3,111.34

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Solution

The fourth proportional to 4,661.68, 6,999.41 and 3,111.34 is: 4,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.68 : 6,999.41 = 3,111.34 : x
  2. Step 2: Convert to fraction form
    4,661.68/6,999.41 = 3,111.34/x
  3. Step 3: Cross multiply
    4,661.68x = 6,999.41 × 3,111.34
  4. Step 4: Simplify right side
    4,661.68x = 21,777,544.31
  5. Step 5: Solve for x
    x = 21,777,544.31/4,661.68
  6. Step 6: Final answer
    x = 4,671.61

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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.