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Finding the Fourth Proportional to 3,756.40, 5,634.60 and 3,730.80

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Solution

The fourth proportional to 3,756.40, 5,634.60 and 3,730.80 is: 5,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.40 : 5,634.60 = 3,730.80 : x
  2. Step 2: Convert to fraction form
    3,756.40/5,634.60 = 3,730.80/x
  3. Step 3: Cross multiply
    3,756.40x = 5,634.60 × 3,730.80
  4. Step 4: Simplify right side
    3,756.40x = 21,021,565.68
  5. Step 5: Solve for x
    x = 21,021,565.68/3,756.40
  6. Step 6: Final answer
    x = 5,596.20

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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.