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Finding the Fourth Proportional to 6,275.88, 9,416.88 and 2,579.22

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Solution

The fourth proportional to 6,275.88, 9,416.88 and 2,579.22 is: 3,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.88 : 9,416.88 = 2,579.22 : x
  2. Step 2: Convert to fraction form
    6,275.88/9,416.88 = 2,579.22/x
  3. Step 3: Cross multiply
    6,275.88x = 9,416.88 × 2,579.22
  4. Step 4: Simplify right side
    6,275.88x = 24,288,205.23
  5. Step 5: Solve for x
    x = 24,288,205.23/6,275.88
  6. Step 6: Final answer
    x = 3,870.09

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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.