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Finding the Fourth Proportional to 4,553.19, 6,829.48 and 1,266.31

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Solution

The fourth proportional to 4,553.19, 6,829.48 and 1,266.31 is: 1,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.19 : 6,829.48 = 1,266.31 : x
  2. Step 2: Convert to fraction form
    4,553.19/6,829.48 = 1,266.31/x
  3. Step 3: Cross multiply
    4,553.19x = 6,829.48 × 1,266.31
  4. Step 4: Simplify right side
    4,553.19x = 8,648,238.82
  5. Step 5: Solve for x
    x = 8,648,238.82/4,553.19
  6. Step 6: Final answer
    x = 1,899.38

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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.