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Finding the Fourth Proportional to 3,773.12, 5,658 and 2,017.79

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Solution

The fourth proportional to 3,773.12, 5,658 and 2,017.79 is: 3,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.12 : 5,658 = 2,017.79 : x
  2. Step 2: Convert to fraction form
    3,773.12/5,658 = 2,017.79/x
  3. Step 3: Cross multiply
    3,773.12x = 5,658 × 2,017.79
  4. Step 4: Simplify right side
    3,773.12x = 11,416,627.53
  5. Step 5: Solve for x
    x = 11,416,627.53/3,773.12
  6. Step 6: Final answer
    x = 3,025.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.