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Finding the Fourth Proportional to 3,734.48, 5,602.68 and 1,682

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Solution

The fourth proportional to 3,734.48, 5,602.68 and 1,682 is: 2,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.48 : 5,602.68 = 1,682 : x
  2. Step 2: Convert to fraction form
    3,734.48/5,602.68 = 1,682/x
  3. Step 3: Cross multiply
    3,734.48x = 5,602.68 × 1,682
  4. Step 4: Simplify right side
    3,734.48x = 9,423,707.76
  5. Step 5: Solve for x
    x = 9,423,707.76/3,734.48
  6. Step 6: Final answer
    x = 2,523.43

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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.