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Finding the Fourth Proportional to 5,438.59, 7,505.43 and 3,080.68

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Solution

The fourth proportional to 5,438.59, 7,505.43 and 3,080.68 is: 4,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.59 : 7,505.43 = 3,080.68 : x
  2. Step 2: Convert to fraction form
    5,438.59/7,505.43 = 3,080.68/x
  3. Step 3: Cross multiply
    5,438.59x = 7,505.43 × 3,080.68
  4. Step 4: Simplify right side
    5,438.59x = 23,121,828.09
  5. Step 5: Solve for x
    x = 23,121,828.09/5,438.59
  6. Step 6: Final answer
    x = 4,251.44

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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.