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Finding the Fourth Proportional to 3,491.26, 5,235.48 and 1,409.92

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Solution

The fourth proportional to 3,491.26, 5,235.48 and 1,409.92 is: 2,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.26 : 5,235.48 = 1,409.92 : x
  2. Step 2: Convert to fraction form
    3,491.26/5,235.48 = 1,409.92/x
  3. Step 3: Cross multiply
    3,491.26x = 5,235.48 × 1,409.92
  4. Step 4: Simplify right side
    3,491.26x = 7,381,607.96
  5. Step 5: Solve for x
    x = 7,381,607.96/3,491.26
  6. Step 6: Final answer
    x = 2,114.31

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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.