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Finding the Fourth Proportional to 3,435.60, 5,161.08 and 3,306

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Solution

The fourth proportional to 3,435.60, 5,161.08 and 3,306 is: 4,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.60 : 5,161.08 = 3,306 : x
  2. Step 2: Convert to fraction form
    3,435.60/5,161.08 = 3,306/x
  3. Step 3: Cross multiply
    3,435.60x = 5,161.08 × 3,306
  4. Step 4: Simplify right side
    3,435.60x = 17,062,530.48
  5. Step 5: Solve for x
    x = 17,062,530.48/3,435.60
  6. Step 6: Final answer
    x = 4,966.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.