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Finding the Fourth Proportional to 4,965.79, 6,852.46 and 2,841.06

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Solution

The fourth proportional to 4,965.79, 6,852.46 and 2,841.06 is: 3,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.79 : 6,852.46 = 2,841.06 : x
  2. Step 2: Convert to fraction form
    4,965.79/6,852.46 = 2,841.06/x
  3. Step 3: Cross multiply
    4,965.79x = 6,852.46 × 2,841.06
  4. Step 4: Simplify right side
    4,965.79x = 19,468,250.01
  5. Step 5: Solve for x
    x = 19,468,250.01/4,965.79
  6. Step 6: Final answer
    x = 3,920.47

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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.