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Finding the Fourth Proportional to 4,903.57, 6,766.08 and 2,778.66

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Solution

The fourth proportional to 4,903.57, 6,766.08 and 2,778.66 is: 3,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.57 : 6,766.08 = 2,778.66 : x
  2. Step 2: Convert to fraction form
    4,903.57/6,766.08 = 2,778.66/x
  3. Step 3: Cross multiply
    4,903.57x = 6,766.08 × 2,778.66
  4. Step 4: Simplify right side
    4,903.57x = 18,800,641.06
  5. Step 5: Solve for x
    x = 18,800,641.06/4,903.57
  6. Step 6: Final answer
    x = 3,834.07

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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.