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Finding the Fourth Proportional to 4,855.52, 6,701.38 and 2,968.20

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Solution

The fourth proportional to 4,855.52, 6,701.38 and 2,968.20 is: 4,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.52 : 6,701.38 = 2,968.20 : x
  2. Step 2: Convert to fraction form
    4,855.52/6,701.38 = 2,968.20/x
  3. Step 3: Cross multiply
    4,855.52x = 6,701.38 × 2,968.20
  4. Step 4: Simplify right side
    4,855.52x = 19,891,036.12
  5. Step 5: Solve for x
    x = 19,891,036.12/4,855.52
  6. Step 6: Final answer
    x = 4,096.58

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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.