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Finding the Fourth Proportional to 3,774.09, 5,657.13 and 2,018.01

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Solution

The fourth proportional to 3,774.09, 5,657.13 and 2,018.01 is: 3,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.09 : 5,657.13 = 2,018.01 : x
  2. Step 2: Convert to fraction form
    3,774.09/5,657.13 = 2,018.01/x
  3. Step 3: Cross multiply
    3,774.09x = 5,657.13 × 2,018.01
  4. Step 4: Simplify right side
    3,774.09x = 11,416,144.91
  5. Step 5: Solve for x
    x = 11,416,144.91/3,774.09
  6. Step 6: Final answer
    x = 3,024.87

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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.