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Finding the Fourth Proportional to 5,132.58, 7,082.97 and 2,894.48

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Solution

The fourth proportional to 5,132.58, 7,082.97 and 2,894.48 is: 3,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.58 : 7,082.97 = 2,894.48 : x
  2. Step 2: Convert to fraction form
    5,132.58/7,082.97 = 2,894.48/x
  3. Step 3: Cross multiply
    5,132.58x = 7,082.97 × 2,894.48
  4. Step 4: Simplify right side
    5,132.58x = 20,501,515.01
  5. Step 5: Solve for x
    x = 20,501,515.01/5,132.58
  6. Step 6: Final answer
    x = 3,994.39

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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.