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Finding the Fourth Proportional to 4,645.07, 6,969.87 and 2,305.29

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Solution

The fourth proportional to 4,645.07, 6,969.87 and 2,305.29 is: 3,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.07 : 6,969.87 = 2,305.29 : x
  2. Step 2: Convert to fraction form
    4,645.07/6,969.87 = 2,305.29/x
  3. Step 3: Cross multiply
    4,645.07x = 6,969.87 × 2,305.29
  4. Step 4: Simplify right side
    4,645.07x = 16,067,571.61
  5. Step 5: Solve for x
    x = 16,067,571.61/4,645.07
  6. Step 6: Final answer
    x = 3,459.06

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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.