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Finding the Fourth Proportional to 4,684.10, 6,440.73 and 4,489.70

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Solution

The fourth proportional to 4,684.10, 6,440.73 and 4,489.70 is: 6,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.10 : 6,440.73 = 4,489.70 : x
  2. Step 2: Convert to fraction form
    4,684.10/6,440.73 = 4,489.70/x
  3. Step 3: Cross multiply
    4,684.10x = 6,440.73 × 4,489.70
  4. Step 4: Simplify right side
    4,684.10x = 28,916,945.48
  5. Step 5: Solve for x
    x = 28,916,945.48/4,684.10
  6. Step 6: Final answer
    x = 6,173.43

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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.