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Finding the Fourth Proportional to 5,894.40, 8,884.01 and 5,082.48

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Solution

The fourth proportional to 5,894.40, 8,884.01 and 5,082.48 is: 7,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.40 : 8,884.01 = 5,082.48 : x
  2. Step 2: Convert to fraction form
    5,894.40/8,884.01 = 5,082.48/x
  3. Step 3: Cross multiply
    5,894.40x = 8,884.01 × 5,082.48
  4. Step 4: Simplify right side
    5,894.40x = 45,152,777.73
  5. Step 5: Solve for x
    x = 45,152,777.73/5,894.40
  6. Step 6: Final answer
    x = 7,660.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.