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Finding the Fourth Proportional to 5,093.74, 7,639.19 and 3,460.31

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Solution

The fourth proportional to 5,093.74, 7,639.19 and 3,460.31 is: 5,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.74 : 7,639.19 = 3,460.31 : x
  2. Step 2: Convert to fraction form
    5,093.74/7,639.19 = 3,460.31/x
  3. Step 3: Cross multiply
    5,093.74x = 7,639.19 × 3,460.31
  4. Step 4: Simplify right side
    5,093.74x = 26,433,965.55
  5. Step 5: Solve for x
    x = 26,433,965.55/5,093.74
  6. Step 6: Final answer
    x = 5,189.50

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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.