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Finding the Fourth Proportional to 5,221.84, 7,205.64 and 2,953.06

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Solution

The fourth proportional to 5,221.84, 7,205.64 and 2,953.06 is: 4,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.84 : 7,205.64 = 2,953.06 : x
  2. Step 2: Convert to fraction form
    5,221.84/7,205.64 = 2,953.06/x
  3. Step 3: Cross multiply
    5,221.84x = 7,205.64 × 2,953.06
  4. Step 4: Simplify right side
    5,221.84x = 21,278,687.26
  5. Step 5: Solve for x
    x = 21,278,687.26/5,221.84
  6. Step 6: Final answer
    x = 4,074.94

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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.