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Finding the Fourth Proportional to 5,005.77, 6,908.82 and 2,911.11

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Solution

The fourth proportional to 5,005.77, 6,908.82 and 2,911.11 is: 4,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.77 : 6,908.82 = 2,911.11 : x
  2. Step 2: Convert to fraction form
    5,005.77/6,908.82 = 2,911.11/x
  3. Step 3: Cross multiply
    5,005.77x = 6,908.82 × 2,911.11
  4. Step 4: Simplify right side
    5,005.77x = 20,112,334.99
  5. Step 5: Solve for x
    x = 20,112,334.99/5,005.77
  6. Step 6: Final answer
    x = 4,017.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.