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Finding the Fourth Proportional to 3,072.32, 4,629.04 and 2,780.14

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Solution

The fourth proportional to 3,072.32, 4,629.04 and 2,780.14 is: 4,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.32 : 4,629.04 = 2,780.14 : x
  2. Step 2: Convert to fraction form
    3,072.32/4,629.04 = 2,780.14/x
  3. Step 3: Cross multiply
    3,072.32x = 4,629.04 × 2,780.14
  4. Step 4: Simplify right side
    3,072.32x = 12,869,379.27
  5. Step 5: Solve for x
    x = 12,869,379.27/3,072.32
  6. Step 6: Final answer
    x = 4,188.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.