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Finding the Fourth Proportional to 3,445.70, 5,168.52 and 1,497.87

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Solution

The fourth proportional to 3,445.70, 5,168.52 and 1,497.87 is: 2,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.70 : 5,168.52 = 1,497.87 : x
  2. Step 2: Convert to fraction form
    3,445.70/5,168.52 = 1,497.87/x
  3. Step 3: Cross multiply
    3,445.70x = 5,168.52 × 1,497.87
  4. Step 4: Simplify right side
    3,445.70x = 7,741,771.05
  5. Step 5: Solve for x
    x = 7,741,771.05/3,445.70
  6. Step 6: Final answer
    x = 2,246.80

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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.