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Finding the Fourth Proportional to 3,653.00, 5,040.50 and 2,160.38

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Solution

The fourth proportional to 3,653.00, 5,040.50 and 2,160.38 is: 2,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.00 : 5,040.50 = 2,160.38 : x
  2. Step 2: Convert to fraction form
    3,653.00/5,040.50 = 2,160.38/x
  3. Step 3: Cross multiply
    3,653.00x = 5,040.50 × 2,160.38
  4. Step 4: Simplify right side
    3,653.00x = 10,889,379.98
  5. Step 5: Solve for x
    x = 10,889,379.98/3,653.00
  6. Step 6: Final answer
    x = 2,980.94

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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.