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Finding the Fourth Proportional to 3,994.48, 5,512.84 and 2,402

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Solution

The fourth proportional to 3,994.48, 5,512.84 and 2,402 is: 3,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.48 : 5,512.84 = 2,402 : x
  2. Step 2: Convert to fraction form
    3,994.48/5,512.84 = 2,402/x
  3. Step 3: Cross multiply
    3,994.48x = 5,512.84 × 2,402
  4. Step 4: Simplify right side
    3,994.48x = 13,241,841.68
  5. Step 5: Solve for x
    x = 13,241,841.68/3,994.48
  6. Step 6: Final answer
    x = 3,315.04

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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.