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Finding the Fourth Proportional to 6,180.96, 8,532.72 and 4,087.20

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Solution

The fourth proportional to 6,180.96, 8,532.72 and 4,087.20 is: 5,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.96 : 8,532.72 = 4,087.20 : x
  2. Step 2: Convert to fraction form
    6,180.96/8,532.72 = 4,087.20/x
  3. Step 3: Cross multiply
    6,180.96x = 8,532.72 × 4,087.20
  4. Step 4: Simplify right side
    6,180.96x = 34,874,933.18
  5. Step 5: Solve for x
    x = 34,874,933.18/6,180.96
  6. Step 6: Final answer
    x = 5,642.32

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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.