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Finding the Fourth Proportional to 3,684.53, 5,526.08 and 1,086.77

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Solution

The fourth proportional to 3,684.53, 5,526.08 and 1,086.77 is: 1,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.53 : 5,526.08 = 1,086.77 : x
  2. Step 2: Convert to fraction form
    3,684.53/5,526.08 = 1,086.77/x
  3. Step 3: Cross multiply
    3,684.53x = 5,526.08 × 1,086.77
  4. Step 4: Simplify right side
    3,684.53x = 6,005,572.53
  5. Step 5: Solve for x
    x = 6,005,572.53/3,684.53
  6. Step 6: Final answer
    x = 1,629.94

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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.