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Finding the Fourth Proportional to 3,814.84, 5,269.64 and 2,877.76

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Solution

The fourth proportional to 3,814.84, 5,269.64 and 2,877.76 is: 3,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.84 : 5,269.64 = 2,877.76 : x
  2. Step 2: Convert to fraction form
    3,814.84/5,269.64 = 2,877.76/x
  3. Step 3: Cross multiply
    3,814.84x = 5,269.64 × 2,877.76
  4. Step 4: Simplify right side
    3,814.84x = 15,164,759.21
  5. Step 5: Solve for x
    x = 15,164,759.21/3,814.84
  6. Step 6: Final answer
    x = 3,975.20

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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.