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Finding the Fourth Proportional to 4,756, 6,563.28 and 2,660.14

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Solution

The fourth proportional to 4,756, 6,563.28 and 2,660.14 is: 3,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756 : 6,563.28 = 2,660.14 : x
  2. Step 2: Convert to fraction form
    4,756/6,563.28 = 2,660.14/x
  3. Step 3: Cross multiply
    4,756x = 6,563.28 × 2,660.14
  4. Step 4: Simplify right side
    4,756x = 17,459,243.66
  5. Step 5: Solve for x
    x = 17,459,243.66/4,756
  6. Step 6: Final answer
    x = 3,670.99

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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.