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Finding the Fourth Proportional to 3,768.59, 5,651.10 and 1,688.63

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Solution

The fourth proportional to 3,768.59, 5,651.10 and 1,688.63 is: 2,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.59 : 5,651.10 = 1,688.63 : x
  2. Step 2: Convert to fraction form
    3,768.59/5,651.10 = 1,688.63/x
  3. Step 3: Cross multiply
    3,768.59x = 5,651.10 × 1,688.63
  4. Step 4: Simplify right side
    3,768.59x = 9,542,588.74
  5. Step 5: Solve for x
    x = 9,542,588.74/3,768.59
  6. Step 6: Final answer
    x = 2,532.14

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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.