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Finding the Fourth Proportional to 3,482.00, 5,222.91 and 849.52

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Solution

The fourth proportional to 3,482.00, 5,222.91 and 849.52 is: 1,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.00 : 5,222.91 = 849.52 : x
  2. Step 2: Convert to fraction form
    3,482.00/5,222.91 = 849.52/x
  3. Step 3: Cross multiply
    3,482.00x = 5,222.91 × 849.52
  4. Step 4: Simplify right side
    3,482.00x = 4,436,949.20
  5. Step 5: Solve for x
    x = 4,436,949.20/3,482.00
  6. Step 6: Final answer
    x = 1,274.25

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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.