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Finding the Fourth Proportional to 4,553.32, 6,829.30 and 1,266.07

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Solution

The fourth proportional to 4,553.32, 6,829.30 and 1,266.07 is: 1,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.32 : 6,829.30 = 1,266.07 : x
  2. Step 2: Convert to fraction form
    4,553.32/6,829.30 = 1,266.07/x
  3. Step 3: Cross multiply
    4,553.32x = 6,829.30 × 1,266.07
  4. Step 4: Simplify right side
    4,553.32x = 8,646,371.85
  5. Step 5: Solve for x
    x = 8,646,371.85/4,553.32
  6. Step 6: Final answer
    x = 1,898.92

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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.