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Finding the Fourth Proportional to 3,661.78, 5,491.12 and 1,409.94

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Solution

The fourth proportional to 3,661.78, 5,491.12 and 1,409.94 is: 2,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.78 : 5,491.12 = 1,409.94 : x
  2. Step 2: Convert to fraction form
    3,661.78/5,491.12 = 1,409.94/x
  3. Step 3: Cross multiply
    3,661.78x = 5,491.12 × 1,409.94
  4. Step 4: Simplify right side
    3,661.78x = 7,742,149.73
  5. Step 5: Solve for x
    x = 7,742,149.73/3,661.78
  6. Step 6: Final answer
    x = 2,114.31

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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.