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Finding the Fourth Proportional to 4,877.70, 6,730.74 and 2,781.83

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Solution

The fourth proportional to 4,877.70, 6,730.74 and 2,781.83 is: 3,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.70 : 6,730.74 = 2,781.83 : x
  2. Step 2: Convert to fraction form
    4,877.70/6,730.74 = 2,781.83/x
  3. Step 3: Cross multiply
    4,877.70x = 6,730.74 × 2,781.83
  4. Step 4: Simplify right side
    4,877.70x = 18,723,740.80
  5. Step 5: Solve for x
    x = 18,723,740.80/4,877.70
  6. Step 6: Final answer
    x = 3,838.64

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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.