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Finding the Fourth Proportional to 3,790.17, 5,676.93 and 3,470.31

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Solution

The fourth proportional to 3,790.17, 5,676.93 and 3,470.31 is: 5,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.17 : 5,676.93 = 3,470.31 : x
  2. Step 2: Convert to fraction form
    3,790.17/5,676.93 = 3,470.31/x
  3. Step 3: Cross multiply
    3,790.17x = 5,676.93 × 3,470.31
  4. Step 4: Simplify right side
    3,790.17x = 19,700,706.95
  5. Step 5: Solve for x
    x = 19,700,706.95/3,790.17
  6. Step 6: Final answer
    x = 5,197.84

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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.