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Finding the Fourth Proportional to 3,684.58, 5,532.34 and 3,618.98

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Solution

The fourth proportional to 3,684.58, 5,532.34 and 3,618.98 is: 5,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.58 : 5,532.34 = 3,618.98 : x
  2. Step 2: Convert to fraction form
    3,684.58/5,532.34 = 3,618.98/x
  3. Step 3: Cross multiply
    3,684.58x = 5,532.34 × 3,618.98
  4. Step 4: Simplify right side
    3,684.58x = 20,021,427.81
  5. Step 5: Solve for x
    x = 20,021,427.81/3,684.58
  6. Step 6: Final answer
    x = 5,433.84

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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.