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Finding the Fourth Proportional to 3,412.35, 4,709.17 and 1,900.05

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Solution

The fourth proportional to 3,412.35, 4,709.17 and 1,900.05 is: 2,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.35 : 4,709.17 = 1,900.05 : x
  2. Step 2: Convert to fraction form
    3,412.35/4,709.17 = 1,900.05/x
  3. Step 3: Cross multiply
    3,412.35x = 4,709.17 × 1,900.05
  4. Step 4: Simplify right side
    3,412.35x = 8,947,634.91
  5. Step 5: Solve for x
    x = 8,947,634.91/3,412.35
  6. Step 6: Final answer
    x = 2,622.13

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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.