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Finding the Fourth Proportional to 4,656.44, 6,425.49 and 2,741.95

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Solution

The fourth proportional to 4,656.44, 6,425.49 and 2,741.95 is: 3,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.44 : 6,425.49 = 2,741.95 : x
  2. Step 2: Convert to fraction form
    4,656.44/6,425.49 = 2,741.95/x
  3. Step 3: Cross multiply
    4,656.44x = 6,425.49 × 2,741.95
  4. Step 4: Simplify right side
    4,656.44x = 17,618,390.62
  5. Step 5: Solve for x
    x = 17,618,390.62/4,656.44
  6. Step 6: Final answer
    x = 3,783.66

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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.