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Finding the Fourth Proportional to 3,409.62, 5,114.90 and 1,434.93

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Solution

The fourth proportional to 3,409.62, 5,114.90 and 1,434.93 is: 2,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.62 : 5,114.90 = 1,434.93 : x
  2. Step 2: Convert to fraction form
    3,409.62/5,114.90 = 1,434.93/x
  3. Step 3: Cross multiply
    3,409.62x = 5,114.90 × 1,434.93
  4. Step 4: Simplify right side
    3,409.62x = 7,339,523.46
  5. Step 5: Solve for x
    x = 7,339,523.46/3,409.62
  6. Step 6: Final answer
    x = 2,152.59

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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.