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Finding the Fourth Proportional to 5,438.63, 7,505.31 and 3,080.93

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Solution

The fourth proportional to 5,438.63, 7,505.31 and 3,080.93 is: 4,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.63 : 7,505.31 = 3,080.93 : x
  2. Step 2: Convert to fraction form
    5,438.63/7,505.31 = 3,080.93/x
  3. Step 3: Cross multiply
    5,438.63x = 7,505.31 × 3,080.93
  4. Step 4: Simplify right side
    5,438.63x = 23,123,297.21
  5. Step 5: Solve for x
    x = 23,123,297.21/5,438.63
  6. Step 6: Final answer
    x = 4,251.68

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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.