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Finding the Fourth Proportional to 3,135.90, 4,705.20 and 1,596.90

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Solution

The fourth proportional to 3,135.90, 4,705.20 and 1,596.90 is: 2,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.90 : 4,705.20 = 1,596.90 : x
  2. Step 2: Convert to fraction form
    3,135.90/4,705.20 = 1,596.90/x
  3. Step 3: Cross multiply
    3,135.90x = 4,705.20 × 1,596.90
  4. Step 4: Simplify right side
    3,135.90x = 7,513,733.88
  5. Step 5: Solve for x
    x = 7,513,733.88/3,135.90
  6. Step 6: Final answer
    x = 2,396.04

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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.