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Finding the Fourth Proportional to 3,357.64, 5,036.46 and 892.46

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Solution

The fourth proportional to 3,357.64, 5,036.46 and 892.46 is: 1,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.64 : 5,036.46 = 892.46 : x
  2. Step 2: Convert to fraction form
    3,357.64/5,036.46 = 892.46/x
  3. Step 3: Cross multiply
    3,357.64x = 5,036.46 × 892.46
  4. Step 4: Simplify right side
    3,357.64x = 4,494,856.82
  5. Step 5: Solve for x
    x = 4,494,856.82/3,357.64
  6. Step 6: Final answer
    x = 1,338.69

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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.