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Finding the Fourth Proportional to 3,396.34, 4,684.96 and 2,135.40

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Solution

The fourth proportional to 3,396.34, 4,684.96 and 2,135.40 is: 2,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.34 : 4,684.96 = 2,135.40 : x
  2. Step 2: Convert to fraction form
    3,396.34/4,684.96 = 2,135.40/x
  3. Step 3: Cross multiply
    3,396.34x = 4,684.96 × 2,135.40
  4. Step 4: Simplify right side
    3,396.34x = 10,004,274.46
  5. Step 5: Solve for x
    x = 10,004,274.46/3,396.34
  6. Step 6: Final answer
    x = 2,945.60

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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.