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Finding the Fourth Proportional to 3,707.80, 5,557.82 and 1,757.68

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Solution

The fourth proportional to 3,707.80, 5,557.82 and 1,757.68 is: 2,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.80 : 5,557.82 = 1,757.68 : x
  2. Step 2: Convert to fraction form
    3,707.80/5,557.82 = 1,757.68/x
  3. Step 3: Cross multiply
    3,707.80x = 5,557.82 × 1,757.68
  4. Step 4: Simplify right side
    3,707.80x = 9,768,869.06
  5. Step 5: Solve for x
    x = 9,768,869.06/3,707.80
  6. Step 6: Final answer
    x = 2,634.68

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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.