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Finding the Fourth Proportional to 6,378.06, 8,804.50 and 3,725.04

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Solution

The fourth proportional to 6,378.06, 8,804.50 and 3,725.04 is: 5,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.06 : 8,804.50 = 3,725.04 : x
  2. Step 2: Convert to fraction form
    6,378.06/8,804.50 = 3,725.04/x
  3. Step 3: Cross multiply
    6,378.06x = 8,804.50 × 3,725.04
  4. Step 4: Simplify right side
    6,378.06x = 32,797,114.68
  5. Step 5: Solve for x
    x = 32,797,114.68/6,378.06
  6. Step 6: Final answer
    x = 5,142.18

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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.