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Finding the Fourth Proportional to 4,134, 5,705.31 and 2,365.62

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Solution

The fourth proportional to 4,134, 5,705.31 and 2,365.62 is: 3,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134 : 5,705.31 = 2,365.62 : x
  2. Step 2: Convert to fraction form
    4,134/5,705.31 = 2,365.62/x
  3. Step 3: Cross multiply
    4,134x = 5,705.31 × 2,365.62
  4. Step 4: Simplify right side
    4,134x = 13,496,595.44
  5. Step 5: Solve for x
    x = 13,496,595.44/4,134
  6. Step 6: Final answer
    x = 3,264.78

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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.