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Finding the Fourth Proportional to 3,645.84, 5,032.02 and 2,134.38

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Solution

The fourth proportional to 3,645.84, 5,032.02 and 2,134.38 is: 2,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.84 : 5,032.02 = 2,134.38 : x
  2. Step 2: Convert to fraction form
    3,645.84/5,032.02 = 2,134.38/x
  3. Step 3: Cross multiply
    3,645.84x = 5,032.02 × 2,134.38
  4. Step 4: Simplify right side
    3,645.84x = 10,740,242.85
  5. Step 5: Solve for x
    x = 10,740,242.85/3,645.84
  6. Step 6: Final answer
    x = 2,945.89

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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.