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Finding the Fourth Proportional to 4,553.45, 6,830.56 and 1,266.57

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Solution

The fourth proportional to 4,553.45, 6,830.56 and 1,266.57 is: 1,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.45 : 6,830.56 = 1,266.57 : x
  2. Step 2: Convert to fraction form
    4,553.45/6,830.56 = 1,266.57/x
  3. Step 3: Cross multiply
    4,553.45x = 6,830.56 × 1,266.57
  4. Step 4: Simplify right side
    4,553.45x = 8,651,382.38
  5. Step 5: Solve for x
    x = 8,651,382.38/4,553.45
  6. Step 6: Final answer
    x = 1,899.96

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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.