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Finding the Fourth Proportional to 3,684.41, 5,527.41 and 1,219.11

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Solution

The fourth proportional to 3,684.41, 5,527.41 and 1,219.11 is: 1,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.41 : 5,527.41 = 1,219.11 : x
  2. Step 2: Convert to fraction form
    3,684.41/5,527.41 = 1,219.11/x
  3. Step 3: Cross multiply
    3,684.41x = 5,527.41 × 1,219.11
  4. Step 4: Simplify right side
    3,684.41x = 6,738,520.81
  5. Step 5: Solve for x
    x = 6,738,520.81/3,684.41
  6. Step 6: Final answer
    x = 1,828.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.