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Finding the Fourth Proportional to 3,546.02, 4,894.05 and 2,705.30

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Solution

The fourth proportional to 3,546.02, 4,894.05 and 2,705.30 is: 3,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.02 : 4,894.05 = 2,705.30 : x
  2. Step 2: Convert to fraction form
    3,546.02/4,894.05 = 2,705.30/x
  3. Step 3: Cross multiply
    3,546.02x = 4,894.05 × 2,705.30
  4. Step 4: Simplify right side
    3,546.02x = 13,239,873.47
  5. Step 5: Solve for x
    x = 13,239,873.47/3,546.02
  6. Step 6: Final answer
    x = 3,733.73

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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.