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Finding the Fourth Proportional to 6,202.04, 8,551.59 and 4,627.40

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Solution

The fourth proportional to 6,202.04, 8,551.59 and 4,627.40 is: 6,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.04 : 8,551.59 = 4,627.40 : x
  2. Step 2: Convert to fraction form
    6,202.04/8,551.59 = 4,627.40/x
  3. Step 3: Cross multiply
    6,202.04x = 8,551.59 × 4,627.40
  4. Step 4: Simplify right side
    6,202.04x = 39,571,627.57
  5. Step 5: Solve for x
    x = 39,571,627.57/6,202.04
  6. Step 6: Final answer
    x = 6,380.42

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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.