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Finding the Fourth Proportional to 3,513.71, 5,270.54 and 1,433.67

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Solution

The fourth proportional to 3,513.71, 5,270.54 and 1,433.67 is: 2,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.71 : 5,270.54 = 1,433.67 : x
  2. Step 2: Convert to fraction form
    3,513.71/5,270.54 = 1,433.67/x
  3. Step 3: Cross multiply
    3,513.71x = 5,270.54 × 1,433.67
  4. Step 4: Simplify right side
    3,513.71x = 7,556,207.91
  5. Step 5: Solve for x
    x = 7,556,207.91/3,513.71
  6. Step 6: Final answer
    x = 2,150.50

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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.