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Finding the Fourth Proportional to 4,159.49, 5,707.73 and 3,783.58

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Solution

The fourth proportional to 4,159.49, 5,707.73 and 3,783.58 is: 5,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.49 : 5,707.73 = 3,783.58 : x
  2. Step 2: Convert to fraction form
    4,159.49/5,707.73 = 3,783.58/x
  3. Step 3: Cross multiply
    4,159.49x = 5,707.73 × 3,783.58
  4. Step 4: Simplify right side
    4,159.49x = 21,595,648.26
  5. Step 5: Solve for x
    x = 21,595,648.26/4,159.49
  6. Step 6: Final answer
    x = 5,191.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.