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Finding the Fourth Proportional to 4,471.81, 6,707.68 and 1,184.83

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Solution

The fourth proportional to 4,471.81, 6,707.68 and 1,184.83 is: 1,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.81 : 6,707.68 = 1,184.83 : x
  2. Step 2: Convert to fraction form
    4,471.81/6,707.68 = 1,184.83/x
  3. Step 3: Cross multiply
    4,471.81x = 6,707.68 × 1,184.83
  4. Step 4: Simplify right side
    4,471.81x = 7,947,440.76
  5. Step 5: Solve for x
    x = 7,947,440.76/4,471.81
  6. Step 6: Final answer
    x = 1,777.23

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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.