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Finding the Fourth Proportional to 4,823.68, 6,656 and 2,727.68

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Solution

The fourth proportional to 4,823.68, 6,656 and 2,727.68 is: 3,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.68 : 6,656 = 2,727.68 : x
  2. Step 2: Convert to fraction form
    4,823.68/6,656 = 2,727.68/x
  3. Step 3: Cross multiply
    4,823.68x = 6,656 × 2,727.68
  4. Step 4: Simplify right side
    4,823.68x = 18,155,438.08
  5. Step 5: Solve for x
    x = 18,155,438.08/4,823.68
  6. Step 6: Final answer
    x = 3,763.81

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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.