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Finding the Fourth Proportional to 3,394.47, 4,684.33 and 1,902.42

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Solution

The fourth proportional to 3,394.47, 4,684.33 and 1,902.42 is: 2,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.47 : 4,684.33 = 1,902.42 : x
  2. Step 2: Convert to fraction form
    3,394.47/4,684.33 = 1,902.42/x
  3. Step 3: Cross multiply
    3,394.47x = 4,684.33 × 1,902.42
  4. Step 4: Simplify right side
    3,394.47x = 8,911,565.46
  5. Step 5: Solve for x
    x = 8,911,565.46/3,394.47
  6. Step 6: Final answer
    x = 2,625.32

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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.