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Finding the Fourth Proportional to 3,709.65, 5,564.49 and 1,077.31

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Solution

The fourth proportional to 3,709.65, 5,564.49 and 1,077.31 is: 1,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.65 : 5,564.49 = 1,077.31 : x
  2. Step 2: Convert to fraction form
    3,709.65/5,564.49 = 1,077.31/x
  3. Step 3: Cross multiply
    3,709.65x = 5,564.49 × 1,077.31
  4. Step 4: Simplify right side
    3,709.65x = 5,994,680.72
  5. Step 5: Solve for x
    x = 5,994,680.72/3,709.65
  6. Step 6: Final answer
    x = 1,615.97

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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.