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Finding the Fourth Proportional to 6,336.95, 8,744.64 and 3,504.16

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Solution

The fourth proportional to 6,336.95, 8,744.64 and 3,504.16 is: 4,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.95 : 8,744.64 = 3,504.16 : x
  2. Step 2: Convert to fraction form
    6,336.95/8,744.64 = 3,504.16/x
  3. Step 3: Cross multiply
    6,336.95x = 8,744.64 × 3,504.16
  4. Step 4: Simplify right side
    6,336.95x = 30,642,556.46
  5. Step 5: Solve for x
    x = 30,642,556.46/6,336.95
  6. Step 6: Final answer
    x = 4,835.54

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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.