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Finding the Fourth Proportional to 4,677.96, 6,455.16 and 2,688.48

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Solution

The fourth proportional to 4,677.96, 6,455.16 and 2,688.48 is: 3,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.96 : 6,455.16 = 2,688.48 : x
  2. Step 2: Convert to fraction form
    4,677.96/6,455.16 = 2,688.48/x
  3. Step 3: Cross multiply
    4,677.96x = 6,455.16 × 2,688.48
  4. Step 4: Simplify right side
    4,677.96x = 17,354,568.56
  5. Step 5: Solve for x
    x = 17,354,568.56/4,677.96
  6. Step 6: Final answer
    x = 3,709.86

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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.