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Finding the Fourth Proportional to 4,813.62, 6,641.24 and 2,688.81

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Solution

The fourth proportional to 4,813.62, 6,641.24 and 2,688.81 is: 3,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.62 : 6,641.24 = 2,688.81 : x
  2. Step 2: Convert to fraction form
    4,813.62/6,641.24 = 2,688.81/x
  3. Step 3: Cross multiply
    4,813.62x = 6,641.24 × 2,688.81
  4. Step 4: Simplify right side
    4,813.62x = 17,857,019.08
  5. Step 5: Solve for x
    x = 17,857,019.08/4,813.62
  6. Step 6: Final answer
    x = 3,709.69

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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.