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Finding the Fourth Proportional to 5,775.11, 7,969.71 and 3,122.57

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Solution

The fourth proportional to 5,775.11, 7,969.71 and 3,122.57 is: 4,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.11 : 7,969.71 = 3,122.57 : x
  2. Step 2: Convert to fraction form
    5,775.11/7,969.71 = 3,122.57/x
  3. Step 3: Cross multiply
    5,775.11x = 7,969.71 × 3,122.57
  4. Step 4: Simplify right side
    5,775.11x = 24,885,937.51
  5. Step 5: Solve for x
    x = 24,885,937.51/5,775.11
  6. Step 6: Final answer
    x = 4,309.17

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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.