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Finding the Fourth Proportional to 5,614.14, 8,421.23 and 5,478.82

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Solution

The fourth proportional to 5,614.14, 8,421.23 and 5,478.82 is: 8,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.14 : 8,421.23 = 5,478.82 : x
  2. Step 2: Convert to fraction form
    5,614.14/8,421.23 = 5,478.82/x
  3. Step 3: Cross multiply
    5,614.14x = 8,421.23 × 5,478.82
  4. Step 4: Simplify right side
    5,614.14x = 46,138,403.35
  5. Step 5: Solve for x
    x = 46,138,403.35/5,614.14
  6. Step 6: Final answer
    x = 8,218.25

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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.