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Finding the Fourth Proportional to 5,436.30, 8,153.22 and 2,513

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Solution

The fourth proportional to 5,436.30, 8,153.22 and 2,513 is: 3,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.30 : 8,153.22 = 2,513 : x
  2. Step 2: Convert to fraction form
    5,436.30/8,153.22 = 2,513/x
  3. Step 3: Cross multiply
    5,436.30x = 8,153.22 × 2,513
  4. Step 4: Simplify right side
    5,436.30x = 20,489,041.86
  5. Step 5: Solve for x
    x = 20,489,041.86/5,436.30
  6. Step 6: Final answer
    x = 3,768.93

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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.