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Finding the Fourth Proportional to 4,566.98, 6,851.49 and 1,447.94

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Solution

The fourth proportional to 4,566.98, 6,851.49 and 1,447.94 is: 2,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.98 : 6,851.49 = 1,447.94 : x
  2. Step 2: Convert to fraction form
    4,566.98/6,851.49 = 1,447.94/x
  3. Step 3: Cross multiply
    4,566.98x = 6,851.49 × 1,447.94
  4. Step 4: Simplify right side
    4,566.98x = 9,920,558.13
  5. Step 5: Solve for x
    x = 9,920,558.13/4,566.98
  6. Step 6: Final answer
    x = 2,172.23

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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.