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Finding the Fourth Proportional to 3,902.04, 5,824.49 and 3,385.62

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Solution

The fourth proportional to 3,902.04, 5,824.49 and 3,385.62 is: 5,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.04 : 5,824.49 = 3,385.62 : x
  2. Step 2: Convert to fraction form
    3,902.04/5,824.49 = 3,385.62/x
  3. Step 3: Cross multiply
    3,902.04x = 5,824.49 × 3,385.62
  4. Step 4: Simplify right side
    3,902.04x = 19,719,492.91
  5. Step 5: Solve for x
    x = 19,719,492.91/3,902.04
  6. Step 6: Final answer
    x = 5,053.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.