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Finding the Fourth Proportional to 5,438.54, 7,505.66 and 3,080.53

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Solution

The fourth proportional to 5,438.54, 7,505.66 and 3,080.53 is: 4,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.54 : 7,505.66 = 3,080.53 : x
  2. Step 2: Convert to fraction form
    5,438.54/7,505.66 = 3,080.53/x
  3. Step 3: Cross multiply
    5,438.54x = 7,505.66 × 3,080.53
  4. Step 4: Simplify right side
    5,438.54x = 23,121,427.88
  5. Step 5: Solve for x
    x = 23,121,427.88/5,438.54
  6. Step 6: Final answer
    x = 4,251.40

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Why These Related Problems?

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