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Finding the Fourth Proportional to 5,137.74, 7,090.76 and 3,815.22

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Solution

The fourth proportional to 5,137.74, 7,090.76 and 3,815.22 is: 5,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.74 : 7,090.76 = 3,815.22 : x
  2. Step 2: Convert to fraction form
    5,137.74/7,090.76 = 3,815.22/x
  3. Step 3: Cross multiply
    5,137.74x = 7,090.76 × 3,815.22
  4. Step 4: Simplify right side
    5,137.74x = 27,052,790.29
  5. Step 5: Solve for x
    x = 27,052,790.29/5,137.74
  6. Step 6: Final answer
    x = 5,265.50

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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.