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Finding the Fourth Proportional to 3,740.96, 5,166.24 and 3,080

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Solution

The fourth proportional to 3,740.96, 5,166.24 and 3,080 is: 4,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.96 : 5,166.24 = 3,080 : x
  2. Step 2: Convert to fraction form
    3,740.96/5,166.24 = 3,080/x
  3. Step 3: Cross multiply
    3,740.96x = 5,166.24 × 3,080
  4. Step 4: Simplify right side
    3,740.96x = 15,912,019.20
  5. Step 5: Solve for x
    x = 15,912,019.20/3,740.96
  6. Step 6: Final answer
    x = 4,253.46

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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.