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Finding the Fourth Proportional to 3,096.69, 4,636.27 and 2,804.74

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Solution

The fourth proportional to 3,096.69, 4,636.27 and 2,804.74 is: 4,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.69 : 4,636.27 = 2,804.74 : x
  2. Step 2: Convert to fraction form
    3,096.69/4,636.27 = 2,804.74/x
  3. Step 3: Cross multiply
    3,096.69x = 4,636.27 × 2,804.74
  4. Step 4: Simplify right side
    3,096.69x = 13,003,531.92
  5. Step 5: Solve for x
    x = 13,003,531.92/3,096.69
  6. Step 6: Final answer
    x = 4,199.17

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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.