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Finding the Fourth Proportional to 5,684.28, 8,539.38 and 5,451

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Solution

The fourth proportional to 5,684.28, 8,539.38 and 5,451 is: 8,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.28 : 8,539.38 = 5,451 : x
  2. Step 2: Convert to fraction form
    5,684.28/8,539.38 = 5,451/x
  3. Step 3: Cross multiply
    5,684.28x = 8,539.38 × 5,451
  4. Step 4: Simplify right side
    5,684.28x = 46,548,160.38
  5. Step 5: Solve for x
    x = 46,548,160.38/5,684.28
  6. Step 6: Final answer
    x = 8,188.93

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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.