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Finding the Fourth Proportional to 5,421.74, 8,134.04 and 2,301.86

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Solution

The fourth proportional to 5,421.74, 8,134.04 and 2,301.86 is: 3,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.74 : 8,134.04 = 2,301.86 : x
  2. Step 2: Convert to fraction form
    5,421.74/8,134.04 = 2,301.86/x
  3. Step 3: Cross multiply
    5,421.74x = 8,134.04 × 2,301.86
  4. Step 4: Simplify right side
    5,421.74x = 18,723,421.31
  5. Step 5: Solve for x
    x = 18,723,421.31/5,421.74
  6. Step 6: Final answer
    x = 3,453.40

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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.