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Finding the Fourth Proportional to 6,579.16, 9,853.02 and 3,797.40

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Solution

The fourth proportional to 6,579.16, 9,853.02 and 3,797.40 is: 5,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.16 : 9,853.02 = 3,797.40 : x
  2. Step 2: Convert to fraction form
    6,579.16/9,853.02 = 3,797.40/x
  3. Step 3: Cross multiply
    6,579.16x = 9,853.02 × 3,797.40
  4. Step 4: Simplify right side
    6,579.16x = 37,415,858.15
  5. Step 5: Solve for x
    x = 37,415,858.15/6,579.16
  6. Step 6: Final answer
    x = 5,687.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.