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Finding the Fourth Proportional to 5,491.80, 8,237.70 and 5,409.79

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Solution

The fourth proportional to 5,491.80, 8,237.70 and 5,409.79 is: 8,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.80 : 8,237.70 = 5,409.79 : x
  2. Step 2: Convert to fraction form
    5,491.80/8,237.70 = 5,409.79/x
  3. Step 3: Cross multiply
    5,491.80x = 8,237.70 × 5,409.79
  4. Step 4: Simplify right side
    5,491.80x = 44,564,206.49
  5. Step 5: Solve for x
    x = 44,564,206.49/5,491.80
  6. Step 6: Final answer
    x = 8,114.68

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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.