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Finding the Fourth Proportional to 3,814.71, 5,268.42 and 3,402.42

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Solution

The fourth proportional to 3,814.71, 5,268.42 and 3,402.42 is: 4,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.71 : 5,268.42 = 3,402.42 : x
  2. Step 2: Convert to fraction form
    3,814.71/5,268.42 = 3,402.42/x
  3. Step 3: Cross multiply
    3,814.71x = 5,268.42 × 3,402.42
  4. Step 4: Simplify right side
    3,814.71x = 17,925,377.58
  5. Step 5: Solve for x
    x = 17,925,377.58/3,814.71
  6. Step 6: Final answer
    x = 4,699.01

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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.