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Finding the Fourth Proportional to 4,672.17, 6,455.78 and 3,735.68

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Solution

The fourth proportional to 4,672.17, 6,455.78 and 3,735.68 is: 5,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.17 : 6,455.78 = 3,735.68 : x
  2. Step 2: Convert to fraction form
    4,672.17/6,455.78 = 3,735.68/x
  3. Step 3: Cross multiply
    4,672.17x = 6,455.78 × 3,735.68
  4. Step 4: Simplify right side
    4,672.17x = 24,116,677.27
  5. Step 5: Solve for x
    x = 24,116,677.27/4,672.17
  6. Step 6: Final answer
    x = 5,161.77

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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.