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Finding the Fourth Proportional to 3,385.17, 5,078.03 and 1,305.09

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Solution

The fourth proportional to 3,385.17, 5,078.03 and 1,305.09 is: 1,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.17 : 5,078.03 = 1,305.09 : x
  2. Step 2: Convert to fraction form
    3,385.17/5,078.03 = 1,305.09/x
  3. Step 3: Cross multiply
    3,385.17x = 5,078.03 × 1,305.09
  4. Step 4: Simplify right side
    3,385.17x = 6,627,279.65
  5. Step 5: Solve for x
    x = 6,627,279.65/3,385.17
  6. Step 6: Final answer
    x = 1,957.74

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