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Finding the Fourth Proportional to 3,593.59, 5,386.40 and 1,512.98

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Solution

The fourth proportional to 3,593.59, 5,386.40 and 1,512.98 is: 2,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.59 : 5,386.40 = 1,512.98 : x
  2. Step 2: Convert to fraction form
    3,593.59/5,386.40 = 1,512.98/x
  3. Step 3: Cross multiply
    3,593.59x = 5,386.40 × 1,512.98
  4. Step 4: Simplify right side
    3,593.59x = 8,149,506.85
  5. Step 5: Solve for x
    x = 8,149,506.85/3,593.59
  6. Step 6: Final answer
    x = 2,267.79

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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.