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Finding the Fourth Proportional to 3,677.60, 5,516.40 and 3,639.20

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Solution

The fourth proportional to 3,677.60, 5,516.40 and 3,639.20 is: 5,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.60 : 5,516.40 = 3,639.20 : x
  2. Step 2: Convert to fraction form
    3,677.60/5,516.40 = 3,639.20/x
  3. Step 3: Cross multiply
    3,677.60x = 5,516.40 × 3,639.20
  4. Step 4: Simplify right side
    3,677.60x = 20,075,282.88
  5. Step 5: Solve for x
    x = 20,075,282.88/3,677.60
  6. Step 6: Final answer
    x = 5,458.80

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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.