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Finding the Fourth Proportional to 4,895.02, 7,342.49 and 1,197.22

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Solution

The fourth proportional to 4,895.02, 7,342.49 and 1,197.22 is: 1,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.02 : 7,342.49 = 1,197.22 : x
  2. Step 2: Convert to fraction form
    4,895.02/7,342.49 = 1,197.22/x
  3. Step 3: Cross multiply
    4,895.02x = 7,342.49 × 1,197.22
  4. Step 4: Simplify right side
    4,895.02x = 8,790,575.88
  5. Step 5: Solve for x
    x = 8,790,575.88/4,895.02
  6. Step 6: Final answer
    x = 1,795.82

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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.