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Finding the Fourth Proportional to 3,732.84, 5,599.20 and 1,135.80

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Solution

The fourth proportional to 3,732.84, 5,599.20 and 1,135.80 is: 1,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.84 : 5,599.20 = 1,135.80 : x
  2. Step 2: Convert to fraction form
    3,732.84/5,599.20 = 1,135.80/x
  3. Step 3: Cross multiply
    3,732.84x = 5,599.20 × 1,135.80
  4. Step 4: Simplify right side
    3,732.84x = 6,359,571.36
  5. Step 5: Solve for x
    x = 6,359,571.36/3,732.84
  6. Step 6: Final answer
    x = 1,703.68

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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.