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Finding the Fourth Proportional to 3,453.96, 5,176.62 and 1,503.96

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Solution

The fourth proportional to 3,453.96, 5,176.62 and 1,503.96 is: 2,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.96 : 5,176.62 = 1,503.96 : x
  2. Step 2: Convert to fraction form
    3,453.96/5,176.62 = 1,503.96/x
  3. Step 3: Cross multiply
    3,453.96x = 5,176.62 × 1,503.96
  4. Step 4: Simplify right side
    3,453.96x = 7,785,429.42
  5. Step 5: Solve for x
    x = 7,785,429.42/3,453.96
  6. Step 6: Final answer
    x = 2,254.06

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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.