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Finding the Fourth Proportional to 5,419.08, 8,093.03 and 4,672.78

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Solution

The fourth proportional to 5,419.08, 8,093.03 and 4,672.78 is: 6,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.08 : 8,093.03 = 4,672.78 : x
  2. Step 2: Convert to fraction form
    5,419.08/8,093.03 = 4,672.78/x
  3. Step 3: Cross multiply
    5,419.08x = 8,093.03 × 4,672.78
  4. Step 4: Simplify right side
    5,419.08x = 37,816,948.72
  5. Step 5: Solve for x
    x = 37,816,948.72/5,419.08
  6. Step 6: Final answer
    x = 6,978.48

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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.