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Finding the Fourth Proportional to 4,571.86, 6,857.79 and 1,109.11

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Solution

The fourth proportional to 4,571.86, 6,857.79 and 1,109.11 is: 1,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.86 : 6,857.79 = 1,109.11 : x
  2. Step 2: Convert to fraction form
    4,571.86/6,857.79 = 1,109.11/x
  3. Step 3: Cross multiply
    4,571.86x = 6,857.79 × 1,109.11
  4. Step 4: Simplify right side
    4,571.86x = 7,606,052.04
  5. Step 5: Solve for x
    x = 7,606,052.04/4,571.86
  6. Step 6: Final answer
    x = 1,663.67

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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.