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Finding the Fourth Proportional to 3,827.79, 5,693.02 and 3,814.83

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Solution

The fourth proportional to 3,827.79, 5,693.02 and 3,814.83 is: 5,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.79 : 5,693.02 = 3,814.83 : x
  2. Step 2: Convert to fraction form
    3,827.79/5,693.02 = 3,814.83/x
  3. Step 3: Cross multiply
    3,827.79x = 5,693.02 × 3,814.83
  4. Step 4: Simplify right side
    3,827.79x = 21,717,893.95
  5. Step 5: Solve for x
    x = 21,717,893.95/3,827.79
  6. Step 6: Final answer
    x = 5,673.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.