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Finding the Fourth Proportional to 3,682.47, 5,525.18 and 1,342.64

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Solution

The fourth proportional to 3,682.47, 5,525.18 and 1,342.64 is: 2,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.47 : 5,525.18 = 1,342.64 : x
  2. Step 2: Convert to fraction form
    3,682.47/5,525.18 = 1,342.64/x
  3. Step 3: Cross multiply
    3,682.47x = 5,525.18 × 1,342.64
  4. Step 4: Simplify right side
    3,682.47x = 7,418,293.34
  5. Step 5: Solve for x
    x = 7,418,293.34/3,682.47
  6. Step 6: Final answer
    x = 2,014.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.