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Finding the Fourth Proportional to 5,437.88, 7,504 and 3,080.16

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Solution

The fourth proportional to 5,437.88, 7,504 and 3,080.16 is: 4,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.88 : 7,504 = 3,080.16 : x
  2. Step 2: Convert to fraction form
    5,437.88/7,504 = 3,080.16/x
  3. Step 3: Cross multiply
    5,437.88x = 7,504 × 3,080.16
  4. Step 4: Simplify right side
    5,437.88x = 23,113,520.64
  5. Step 5: Solve for x
    x = 23,113,520.64/5,437.88
  6. Step 6: Final answer
    x = 4,250.47

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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.