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Finding the Fourth Proportional to 4,463.54, 6,695.27 and 1,343.53

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Solution

The fourth proportional to 4,463.54, 6,695.27 and 1,343.53 is: 2,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.54 : 6,695.27 = 1,343.53 : x
  2. Step 2: Convert to fraction form
    4,463.54/6,695.27 = 1,343.53/x
  3. Step 3: Cross multiply
    4,463.54x = 6,695.27 × 1,343.53
  4. Step 4: Simplify right side
    4,463.54x = 8,995,299.46
  5. Step 5: Solve for x
    x = 8,995,299.46/4,463.54
  6. Step 6: Final answer
    x = 2,015.28

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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.