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Finding the Fourth Proportional to 3,614.58, 5,420.60 and 1,332

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Solution

The fourth proportional to 3,614.58, 5,420.60 and 1,332 is: 1,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.58 : 5,420.60 = 1,332 : x
  2. Step 2: Convert to fraction form
    3,614.58/5,420.60 = 1,332/x
  3. Step 3: Cross multiply
    3,614.58x = 5,420.60 × 1,332
  4. Step 4: Simplify right side
    3,614.58x = 7,220,232.54
  5. Step 5: Solve for x
    x = 7,220,232.54/3,614.58
  6. Step 6: Final answer
    x = 1,997.53

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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.