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Finding the Fourth Proportional to 3,962.51, 5,940.82 and 2,402.85

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Solution

The fourth proportional to 3,962.51, 5,940.82 and 2,402.85 is: 3,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.51 : 5,940.82 = 2,402.85 : x
  2. Step 2: Convert to fraction form
    3,962.51/5,940.82 = 2,402.85/x
  3. Step 3: Cross multiply
    3,962.51x = 5,940.82 × 2,402.85
  4. Step 4: Simplify right side
    3,962.51x = 14,274,899.34
  5. Step 5: Solve for x
    x = 14,274,899.34/3,962.51
  6. Step 6: Final answer
    x = 3,602.49

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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.