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Finding the Fourth Proportional to 4,965.67, 6,852.22 and 2,869.93

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Solution

The fourth proportional to 4,965.67, 6,852.22 and 2,869.93 is: 3,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.67 : 6,852.22 = 2,869.93 : x
  2. Step 2: Convert to fraction form
    4,965.67/6,852.22 = 2,869.93/x
  3. Step 3: Cross multiply
    4,965.67x = 6,852.22 × 2,869.93
  4. Step 4: Simplify right side
    4,965.67x = 19,665,391.74
  5. Step 5: Solve for x
    x = 19,665,391.74/4,965.67
  6. Step 6: Final answer
    x = 3,960.27

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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.