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Finding the Fourth Proportional to 3,424.77, 4,723.79 and 3,145.95

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Solution

The fourth proportional to 3,424.77, 4,723.79 and 3,145.95 is: 4,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.77 : 4,723.79 = 3,145.95 : x
  2. Step 2: Convert to fraction form
    3,424.77/4,723.79 = 3,145.95/x
  3. Step 3: Cross multiply
    3,424.77x = 4,723.79 × 3,145.95
  4. Step 4: Simplify right side
    3,424.77x = 14,860,791.42
  5. Step 5: Solve for x
    x = 14,860,791.42/3,424.77
  6. Step 6: Final answer
    x = 4,339.21

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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.