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Finding the Fourth Proportional to 3,358.37, 5,037.80 and 893.14

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Solution

The fourth proportional to 3,358.37, 5,037.80 and 893.14 is: 1,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.37 : 5,037.80 = 893.14 : x
  2. Step 2: Convert to fraction form
    3,358.37/5,037.80 = 893.14/x
  3. Step 3: Cross multiply
    3,358.37x = 5,037.80 × 893.14
  4. Step 4: Simplify right side
    3,358.37x = 4,499,460.69
  5. Step 5: Solve for x
    x = 4,499,460.69/3,358.37
  6. Step 6: Final answer
    x = 1,339.78

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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.