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Finding the Fourth Proportional to 5,409.80, 8,105.90 and 4,891.40

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Solution

The fourth proportional to 5,409.80, 8,105.90 and 4,891.40 is: 7,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.80 : 8,105.90 = 4,891.40 : x
  2. Step 2: Convert to fraction form
    5,409.80/8,105.90 = 4,891.40/x
  3. Step 3: Cross multiply
    5,409.80x = 8,105.90 × 4,891.40
  4. Step 4: Simplify right side
    5,409.80x = 39,649,199.26
  5. Step 5: Solve for x
    x = 39,649,199.26/5,409.80
  6. Step 6: Final answer
    x = 7,329.14

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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.