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Finding the Fourth Proportional to 3,502.80, 5,254.37 and 1,421.73

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Solution

The fourth proportional to 3,502.80, 5,254.37 and 1,421.73 is: 2,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.80 : 5,254.37 = 1,421.73 : x
  2. Step 2: Convert to fraction form
    3,502.80/5,254.37 = 1,421.73/x
  3. Step 3: Cross multiply
    3,502.80x = 5,254.37 × 1,421.73
  4. Step 4: Simplify right side
    3,502.80x = 7,470,288.35
  5. Step 5: Solve for x
    x = 7,470,288.35/3,502.80
  6. Step 6: Final answer
    x = 2,132.66

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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.