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Finding the Fourth Proportional to 3,684.71, 5,516.94 and 3,332.36

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Solution

The fourth proportional to 3,684.71, 5,516.94 and 3,332.36 is: 4,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.71 : 5,516.94 = 3,332.36 : x
  2. Step 2: Convert to fraction form
    3,684.71/5,516.94 = 3,332.36/x
  3. Step 3: Cross multiply
    3,684.71x = 5,516.94 × 3,332.36
  4. Step 4: Simplify right side
    3,684.71x = 18,384,430.18
  5. Step 5: Solve for x
    x = 18,384,430.18/3,684.71
  6. Step 6: Final answer
    x = 4,989.38

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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.