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Finding the Fourth Proportional to 5,132.73, 7,083 and 2,894.70

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Solution

The fourth proportional to 5,132.73, 7,083 and 2,894.70 is: 3,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.73 : 7,083 = 2,894.70 : x
  2. Step 2: Convert to fraction form
    5,132.73/7,083 = 2,894.70/x
  3. Step 3: Cross multiply
    5,132.73x = 7,083 × 2,894.70
  4. Step 4: Simplify right side
    5,132.73x = 20,503,160.10
  5. Step 5: Solve for x
    x = 20,503,160.10/5,132.73
  6. Step 6: Final answer
    x = 3,994.59

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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.