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Finding the Fourth Proportional to 3,657.37, 5,476.70 and 2,012.11

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Solution

The fourth proportional to 3,657.37, 5,476.70 and 2,012.11 is: 3,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.37 : 5,476.70 = 2,012.11 : x
  2. Step 2: Convert to fraction form
    3,657.37/5,476.70 = 2,012.11/x
  3. Step 3: Cross multiply
    3,657.37x = 5,476.70 × 2,012.11
  4. Step 4: Simplify right side
    3,657.37x = 11,019,714.18
  5. Step 5: Solve for x
    x = 11,019,714.18/3,657.37
  6. Step 6: Final answer
    x = 3,013.02

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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.