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Finding the Fourth Proportional to 5,438.68, 7,505.60 and 3,080.68

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Solution

The fourth proportional to 5,438.68, 7,505.60 and 3,080.68 is: 4,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.68 : 7,505.60 = 3,080.68 : x
  2. Step 2: Convert to fraction form
    5,438.68/7,505.60 = 3,080.68/x
  3. Step 3: Cross multiply
    5,438.68x = 7,505.60 × 3,080.68
  4. Step 4: Simplify right side
    5,438.68x = 23,122,351.81
  5. Step 5: Solve for x
    x = 23,122,351.81/5,438.68
  6. Step 6: Final answer
    x = 4,251.46

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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.