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Finding the Fourth Proportional to 6,336.32, 8,744.16 and 3,685.40

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Solution

The fourth proportional to 6,336.32, 8,744.16 and 3,685.40 is: 5,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.32 : 8,744.16 = 3,685.40 : x
  2. Step 2: Convert to fraction form
    6,336.32/8,744.16 = 3,685.40/x
  3. Step 3: Cross multiply
    6,336.32x = 8,744.16 × 3,685.40
  4. Step 4: Simplify right side
    6,336.32x = 32,225,727.26
  5. Step 5: Solve for x
    x = 32,225,727.26/6,336.32
  6. Step 6: Final answer
    x = 5,085.87

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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.