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Finding the Fourth Proportional to 6,696.20, 10,045.92 and 3,409.40

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Solution

The fourth proportional to 6,696.20, 10,045.92 and 3,409.40 is: 5,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.20 : 10,045.92 = 3,409.40 : x
  2. Step 2: Convert to fraction form
    6,696.20/10,045.92 = 3,409.40/x
  3. Step 3: Cross multiply
    6,696.20x = 10,045.92 × 3,409.40
  4. Step 4: Simplify right side
    6,696.20x = 34,250,559.65
  5. Step 5: Solve for x
    x = 34,250,559.65/6,696.20
  6. Step 6: Final answer
    x = 5,114.92

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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.