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Finding the Fourth Proportional to 4,586.56, 6,882.28 and 2,741.28

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Solution

The fourth proportional to 4,586.56, 6,882.28 and 2,741.28 is: 4,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.56 : 6,882.28 = 2,741.28 : x
  2. Step 2: Convert to fraction form
    4,586.56/6,882.28 = 2,741.28/x
  3. Step 3: Cross multiply
    4,586.56x = 6,882.28 × 2,741.28
  4. Step 4: Simplify right side
    4,586.56x = 18,866,256.52
  5. Step 5: Solve for x
    x = 18,866,256.52/4,586.56
  6. Step 6: Final answer
    x = 4,113.38

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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.