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Finding the Fourth Proportional to 5,493.56, 7,581.08 and 2,975.66

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Solution

The fourth proportional to 5,493.56, 7,581.08 and 2,975.66 is: 4,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.56 : 7,581.08 = 2,975.66 : x
  2. Step 2: Convert to fraction form
    5,493.56/7,581.08 = 2,975.66/x
  3. Step 3: Cross multiply
    5,493.56x = 7,581.08 × 2,975.66
  4. Step 4: Simplify right side
    5,493.56x = 22,558,686.05
  5. Step 5: Solve for x
    x = 22,558,686.05/5,493.56
  6. Step 6: Final answer
    x = 4,106.39

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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.