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Finding the Fourth Proportional to 4,310.66, 6,461.66 and 2,750.06

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Solution

The fourth proportional to 4,310.66, 6,461.66 and 2,750.06 is: 4,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.66 : 6,461.66 = 2,750.06 : x
  2. Step 2: Convert to fraction form
    4,310.66/6,461.66 = 2,750.06/x
  3. Step 3: Cross multiply
    4,310.66x = 6,461.66 × 2,750.06
  4. Step 4: Simplify right side
    4,310.66x = 17,769,952.70
  5. Step 5: Solve for x
    x = 17,769,952.70/4,310.66
  6. Step 6: Final answer
    x = 4,122.33

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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.