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Finding the Fourth Proportional to 3,433.88, 4,740.06 and 2,109.38

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Solution

The fourth proportional to 3,433.88, 4,740.06 and 2,109.38 is: 2,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.88 : 4,740.06 = 2,109.38 : x
  2. Step 2: Convert to fraction form
    3,433.88/4,740.06 = 2,109.38/x
  3. Step 3: Cross multiply
    3,433.88x = 4,740.06 × 2,109.38
  4. Step 4: Simplify right side
    3,433.88x = 9,998,577.22
  5. Step 5: Solve for x
    x = 9,998,577.22/3,433.88
  6. Step 6: Final answer
    x = 2,911.74

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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.