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Finding the Fourth Proportional to 3,684.86, 5,085.54 and 2,112.95

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Solution

The fourth proportional to 3,684.86, 5,085.54 and 2,112.95 is: 2,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.86 : 5,085.54 = 2,112.95 : x
  2. Step 2: Convert to fraction form
    3,684.86/5,085.54 = 2,112.95/x
  3. Step 3: Cross multiply
    3,684.86x = 5,085.54 × 2,112.95
  4. Step 4: Simplify right side
    3,684.86x = 10,745,491.74
  5. Step 5: Solve for x
    x = 10,745,491.74/3,684.86
  6. Step 6: Final answer
    x = 2,916.12

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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.