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Finding the Fourth Proportional to 5,119.68, 7,684.86 and 4,538.40

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Solution

The fourth proportional to 5,119.68, 7,684.86 and 4,538.40 is: 6,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.68 : 7,684.86 = 4,538.40 : x
  2. Step 2: Convert to fraction form
    5,119.68/7,684.86 = 4,538.40/x
  3. Step 3: Cross multiply
    5,119.68x = 7,684.86 × 4,538.40
  4. Step 4: Simplify right side
    5,119.68x = 34,876,968.62
  5. Step 5: Solve for x
    x = 34,876,968.62/5,119.68
  6. Step 6: Final answer
    x = 6,812.33

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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.