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Finding the Fourth Proportional to 5,884.14, 8,113.47 and 3,756.88

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Solution

The fourth proportional to 5,884.14, 8,113.47 and 3,756.88 is: 5,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.14 : 8,113.47 = 3,756.88 : x
  2. Step 2: Convert to fraction form
    5,884.14/8,113.47 = 3,756.88/x
  3. Step 3: Cross multiply
    5,884.14x = 8,113.47 × 3,756.88
  4. Step 4: Simplify right side
    5,884.14x = 30,481,329.23
  5. Step 5: Solve for x
    x = 30,481,329.23/5,884.14
  6. Step 6: Final answer
    x = 5,180.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.