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Finding the Fourth Proportional to 3,546.47, 4,893.92 and 2,606.21

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Solution

The fourth proportional to 3,546.47, 4,893.92 and 2,606.21 is: 3,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.47 : 4,893.92 = 2,606.21 : x
  2. Step 2: Convert to fraction form
    3,546.47/4,893.92 = 2,606.21/x
  3. Step 3: Cross multiply
    3,546.47x = 4,893.92 × 2,606.21
  4. Step 4: Simplify right side
    3,546.47x = 12,754,545.74
  5. Step 5: Solve for x
    x = 12,754,545.74/3,546.47
  6. Step 6: Final answer
    x = 3,596.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.