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Finding the Fourth Proportional to 3,402.75, 4,695.84 and 1,910.58

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Solution

The fourth proportional to 3,402.75, 4,695.84 and 1,910.58 is: 2,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.75 : 4,695.84 = 1,910.58 : x
  2. Step 2: Convert to fraction form
    3,402.75/4,695.84 = 1,910.58/x
  3. Step 3: Cross multiply
    3,402.75x = 4,695.84 × 1,910.58
  4. Step 4: Simplify right side
    3,402.75x = 8,971,777.99
  5. Step 5: Solve for x
    x = 8,971,777.99/3,402.75
  6. Step 6: Final answer
    x = 2,636.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.