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Finding the Fourth Proportional to 4,642.03, 6,403.89 and 2,847.88

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Solution

The fourth proportional to 4,642.03, 6,403.89 and 2,847.88 is: 3,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.03 : 6,403.89 = 2,847.88 : x
  2. Step 2: Convert to fraction form
    4,642.03/6,403.89 = 2,847.88/x
  3. Step 3: Cross multiply
    4,642.03x = 6,403.89 × 2,847.88
  4. Step 4: Simplify right side
    4,642.03x = 18,237,510.25
  5. Step 5: Solve for x
    x = 18,237,510.25/4,642.03
  6. Step 6: Final answer
    x = 3,928.78

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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.