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Finding the Fourth Proportional to 3,525.84, 4,864.50 and 2,033.22

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Solution

The fourth proportional to 3,525.84, 4,864.50 and 2,033.22 is: 2,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.84 : 4,864.50 = 2,033.22 : x
  2. Step 2: Convert to fraction form
    3,525.84/4,864.50 = 2,033.22/x
  3. Step 3: Cross multiply
    3,525.84x = 4,864.50 × 2,033.22
  4. Step 4: Simplify right side
    3,525.84x = 9,890,598.69
  5. Step 5: Solve for x
    x = 9,890,598.69/3,525.84
  6. Step 6: Final answer
    x = 2,805.18

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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.