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Finding the Fourth Proportional to 3,119.49, 4,302.81 and 3,012.57

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Solution

The fourth proportional to 3,119.49, 4,302.81 and 3,012.57 is: 4,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.49 : 4,302.81 = 3,012.57 : x
  2. Step 2: Convert to fraction form
    3,119.49/4,302.81 = 3,012.57/x
  3. Step 3: Cross multiply
    3,119.49x = 4,302.81 × 3,012.57
  4. Step 4: Simplify right side
    3,119.49x = 12,962,516.32
  5. Step 5: Solve for x
    x = 12,962,516.32/3,119.49
  6. Step 6: Final answer
    x = 4,155.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.