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Finding the Fourth Proportional to 3,546.02, 4,893.19 and 2,053.46

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Solution

The fourth proportional to 3,546.02, 4,893.19 and 2,053.46 is: 2,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.02 : 4,893.19 = 2,053.46 : x
  2. Step 2: Convert to fraction form
    3,546.02/4,893.19 = 2,053.46/x
  3. Step 3: Cross multiply
    3,546.02x = 4,893.19 × 2,053.46
  4. Step 4: Simplify right side
    3,546.02x = 10,047,940.34
  5. Step 5: Solve for x
    x = 10,047,940.34/3,546.02
  6. Step 6: Final answer
    x = 2,833.59

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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.