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Finding the Fourth Proportional to 3,851.40, 5,305.71 and 3,663.79

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Solution

The fourth proportional to 3,851.40, 5,305.71 and 3,663.79 is: 5,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.40 : 5,305.71 = 3,663.79 : x
  2. Step 2: Convert to fraction form
    3,851.40/5,305.71 = 3,663.79/x
  3. Step 3: Cross multiply
    3,851.40x = 5,305.71 × 3,663.79
  4. Step 4: Simplify right side
    3,851.40x = 19,439,007.24
  5. Step 5: Solve for x
    x = 19,439,007.24/3,851.40
  6. Step 6: Final answer
    x = 5,047.26

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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.