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Finding the Fourth Proportional to 4,471.37, 6,707.06 and 1,184.72

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Solution

The fourth proportional to 4,471.37, 6,707.06 and 1,184.72 is: 1,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.37 : 6,707.06 = 1,184.72 : x
  2. Step 2: Convert to fraction form
    4,471.37/6,707.06 = 1,184.72/x
  3. Step 3: Cross multiply
    4,471.37x = 6,707.06 × 1,184.72
  4. Step 4: Simplify right side
    4,471.37x = 7,945,998.97
  5. Step 5: Solve for x
    x = 7,945,998.97/4,471.37
  6. Step 6: Final answer
    x = 1,777.08

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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.