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Finding the Fourth Proportional to 3,653.38, 5,037.42 and 3,456.40

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Solution

The fourth proportional to 3,653.38, 5,037.42 and 3,456.40 is: 4,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.38 : 5,037.42 = 3,456.40 : x
  2. Step 2: Convert to fraction form
    3,653.38/5,037.42 = 3,456.40/x
  3. Step 3: Cross multiply
    3,653.38x = 5,037.42 × 3,456.40
  4. Step 4: Simplify right side
    3,653.38x = 17,411,338.49
  5. Step 5: Solve for x
    x = 17,411,338.49/3,653.38
  6. Step 6: Final answer
    x = 4,765.82

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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.