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Finding the Fourth Proportional to 3,672.74, 5,486.02 and 3,089.54

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Solution

The fourth proportional to 3,672.74, 5,486.02 and 3,089.54 is: 4,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.74 : 5,486.02 = 3,089.54 : x
  2. Step 2: Convert to fraction form
    3,672.74/5,486.02 = 3,089.54/x
  3. Step 3: Cross multiply
    3,672.74x = 5,486.02 × 3,089.54
  4. Step 4: Simplify right side
    3,672.74x = 16,949,278.23
  5. Step 5: Solve for x
    x = 16,949,278.23/3,672.74
  6. Step 6: Final answer
    x = 4,614.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.