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Finding the Fourth Proportional to 3,905.46, 5,386.23 and 3,516.66

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Solution

The fourth proportional to 3,905.46, 5,386.23 and 3,516.66 is: 4,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.46 : 5,386.23 = 3,516.66 : x
  2. Step 2: Convert to fraction form
    3,905.46/5,386.23 = 3,516.66/x
  3. Step 3: Cross multiply
    3,905.46x = 5,386.23 × 3,516.66
  4. Step 4: Simplify right side
    3,905.46x = 18,941,539.59
  5. Step 5: Solve for x
    x = 18,941,539.59/3,905.46
  6. Step 6: Final answer
    x = 4,850.02

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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.