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Finding the Fourth Proportional to 5,750.58, 8,638.14 and 4,117.62

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Solution

The fourth proportional to 5,750.58, 8,638.14 and 4,117.62 is: 6,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.58 : 8,638.14 = 4,117.62 : x
  2. Step 2: Convert to fraction form
    5,750.58/8,638.14 = 4,117.62/x
  3. Step 3: Cross multiply
    5,750.58x = 8,638.14 × 4,117.62
  4. Step 4: Simplify right side
    5,750.58x = 35,568,578.03
  5. Step 5: Solve for x
    x = 35,568,578.03/5,750.58
  6. Step 6: Final answer
    x = 6,185.22

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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.