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Finding the Fourth Proportional to 3,472.68, 5,210.64 and 1,741.08

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Solution

The fourth proportional to 3,472.68, 5,210.64 and 1,741.08 is: 2,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.68 : 5,210.64 = 1,741.08 : x
  2. Step 2: Convert to fraction form
    3,472.68/5,210.64 = 1,741.08/x
  3. Step 3: Cross multiply
    3,472.68x = 5,210.64 × 1,741.08
  4. Step 4: Simplify right side
    3,472.68x = 9,072,141.09
  5. Step 5: Solve for x
    x = 9,072,141.09/3,472.68
  6. Step 6: Final answer
    x = 2,612.43

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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.