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Finding the Fourth Proportional to 5,605.09, 7,734.75 and 3,247.99

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Solution

The fourth proportional to 5,605.09, 7,734.75 and 3,247.99 is: 4,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.09 : 7,734.75 = 3,247.99 : x
  2. Step 2: Convert to fraction form
    5,605.09/7,734.75 = 3,247.99/x
  3. Step 3: Cross multiply
    5,605.09x = 7,734.75 × 3,247.99
  4. Step 4: Simplify right side
    5,605.09x = 25,122,390.65
  5. Step 5: Solve for x
    x = 25,122,390.65/5,605.09
  6. Step 6: Final answer
    x = 4,482.07

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Why These Related Problems?

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