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Finding the Fourth Proportional to 3,427, 4,728.18 and 2,100.04

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Solution

The fourth proportional to 3,427, 4,728.18 and 2,100.04 is: 2,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427 : 4,728.18 = 2,100.04 : x
  2. Step 2: Convert to fraction form
    3,427/4,728.18 = 2,100.04/x
  3. Step 3: Cross multiply
    3,427x = 4,728.18 × 2,100.04
  4. Step 4: Simplify right side
    3,427x = 9,929,367.13
  5. Step 5: Solve for x
    x = 9,929,367.13/3,427
  6. Step 6: Final answer
    x = 2,897.39

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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.