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Finding the Fourth Proportional to 3,700.47, 5,104.31 and 2,814.33

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Solution

The fourth proportional to 3,700.47, 5,104.31 and 2,814.33 is: 3,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.47 : 5,104.31 = 2,814.33 : x
  2. Step 2: Convert to fraction form
    3,700.47/5,104.31 = 2,814.33/x
  3. Step 3: Cross multiply
    3,700.47x = 5,104.31 × 2,814.33
  4. Step 4: Simplify right side
    3,700.47x = 14,365,198.69
  5. Step 5: Solve for x
    x = 14,365,198.69/3,700.47
  6. Step 6: Final answer
    x = 3,881.99

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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.