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Finding the Fourth Proportional to 3,639.63, 5,017.60 and 3,077.84

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Solution

The fourth proportional to 3,639.63, 5,017.60 and 3,077.84 is: 4,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.63 : 5,017.60 = 3,077.84 : x
  2. Step 2: Convert to fraction form
    3,639.63/5,017.60 = 3,077.84/x
  3. Step 3: Cross multiply
    3,639.63x = 5,017.60 × 3,077.84
  4. Step 4: Simplify right side
    3,639.63x = 15,443,369.98
  5. Step 5: Solve for x
    x = 15,443,369.98/3,639.63
  6. Step 6: Final answer
    x = 4,243.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.