Home / 5,102.73-7,641.14-4,074.57

Finding the Fourth Proportional to 5,102.73, 7,641.14 and 4,074.57

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Solution

The fourth proportional to 5,102.73, 7,641.14 and 4,074.57 is: 6,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.73 : 7,641.14 = 4,074.57 : x
  2. Step 2: Convert to fraction form
    5,102.73/7,641.14 = 4,074.57/x
  3. Step 3: Cross multiply
    5,102.73x = 7,641.14 × 4,074.57
  4. Step 4: Simplify right side
    5,102.73x = 31,134,339.44
  5. Step 5: Solve for x
    x = 31,134,339.44/5,102.73
  6. Step 6: Final answer
    x = 6,101.51

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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.