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Finding the Fourth Proportional to 4,801.95, 7,204.68 and 1,882.26

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Solution

The fourth proportional to 4,801.95, 7,204.68 and 1,882.26 is: 2,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.95 : 7,204.68 = 1,882.26 : x
  2. Step 2: Convert to fraction form
    4,801.95/7,204.68 = 1,882.26/x
  3. Step 3: Cross multiply
    4,801.95x = 7,204.68 × 1,882.26
  4. Step 4: Simplify right side
    4,801.95x = 13,561,080.98
  5. Step 5: Solve for x
    x = 13,561,080.98/4,801.95
  6. Step 6: Final answer
    x = 2,824.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.