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Finding the Fourth Proportional to 5,932.10, 8,894.10 and 2,813.60

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Solution

The fourth proportional to 5,932.10, 8,894.10 and 2,813.60 is: 4,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.10 : 8,894.10 = 2,813.60 : x
  2. Step 2: Convert to fraction form
    5,932.10/8,894.10 = 2,813.60/x
  3. Step 3: Cross multiply
    5,932.10x = 8,894.10 × 2,813.60
  4. Step 4: Simplify right side
    5,932.10x = 25,024,439.76
  5. Step 5: Solve for x
    x = 25,024,439.76/5,932.10
  6. Step 6: Final answer
    x = 4,218.48

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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.