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Finding the Fourth Proportional to 5,640.07, 7,782.76 and 3,370.96

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Solution

The fourth proportional to 5,640.07, 7,782.76 and 3,370.96 is: 4,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.07 : 7,782.76 = 3,370.96 : x
  2. Step 2: Convert to fraction form
    5,640.07/7,782.76 = 3,370.96/x
  3. Step 3: Cross multiply
    5,640.07x = 7,782.76 × 3,370.96
  4. Step 4: Simplify right side
    5,640.07x = 26,235,372.65
  5. Step 5: Solve for x
    x = 26,235,372.65/5,640.07
  6. Step 6: Final answer
    x = 4,651.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.