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Finding the Fourth Proportional to 3,614.33, 5,421.90 and 1,422.77

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Solution

The fourth proportional to 3,614.33, 5,421.90 and 1,422.77 is: 2,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.33 : 5,421.90 = 1,422.77 : x
  2. Step 2: Convert to fraction form
    3,614.33/5,421.90 = 1,422.77/x
  3. Step 3: Cross multiply
    3,614.33x = 5,421.90 × 1,422.77
  4. Step 4: Simplify right side
    3,614.33x = 7,714,109.55
  5. Step 5: Solve for x
    x = 7,714,109.55/3,614.33
  6. Step 6: Final answer
    x = 2,134.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.