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Finding the Fourth Proportional to 3,783.09, 5,663.67 and 3,159.79

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Solution

The fourth proportional to 3,783.09, 5,663.67 and 3,159.79 is: 4,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.09 : 5,663.67 = 3,159.79 : x
  2. Step 2: Convert to fraction form
    3,783.09/5,663.67 = 3,159.79/x
  3. Step 3: Cross multiply
    3,783.09x = 5,663.67 × 3,159.79
  4. Step 4: Simplify right side
    3,783.09x = 17,896,007.83
  5. Step 5: Solve for x
    x = 17,896,007.83/3,783.09
  6. Step 6: Final answer
    x = 4,730.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.