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Finding the Fourth Proportional to 4,477.82, 6,709.89 and 1,879.34

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Solution

The fourth proportional to 4,477.82, 6,709.89 and 1,879.34 is: 2,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.82 : 6,709.89 = 1,879.34 : x
  2. Step 2: Convert to fraction form
    4,477.82/6,709.89 = 1,879.34/x
  3. Step 3: Cross multiply
    4,477.82x = 6,709.89 × 1,879.34
  4. Step 4: Simplify right side
    4,477.82x = 12,610,164.67
  5. Step 5: Solve for x
    x = 12,610,164.67/4,477.82
  6. Step 6: Final answer
    x = 2,816.14

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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.