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Finding the Fourth Proportional to 3,593.96, 5,393.06 and 1,513.84

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Solution

The fourth proportional to 3,593.96, 5,393.06 and 1,513.84 is: 2,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.96 : 5,393.06 = 1,513.84 : x
  2. Step 2: Convert to fraction form
    3,593.96/5,393.06 = 1,513.84/x
  3. Step 3: Cross multiply
    3,593.96x = 5,393.06 × 1,513.84
  4. Step 4: Simplify right side
    3,593.96x = 8,164,229.95
  5. Step 5: Solve for x
    x = 8,164,229.95/3,593.96
  6. Step 6: Final answer
    x = 2,271.65

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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.