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Finding the Fourth Proportional to 4,553.64, 6,830.43 and 1,266.75

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Solution

The fourth proportional to 4,553.64, 6,830.43 and 1,266.75 is: 1,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.64 : 6,830.43 = 1,266.75 : x
  2. Step 2: Convert to fraction form
    4,553.64/6,830.43 = 1,266.75/x
  3. Step 3: Cross multiply
    4,553.64x = 6,830.43 × 1,266.75
  4. Step 4: Simplify right side
    4,553.64x = 8,652,447.20
  5. Step 5: Solve for x
    x = 8,652,447.20/4,553.64
  6. Step 6: Final answer
    x = 1,900.12

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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.