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Finding the Fourth Proportional to 4,739.40, 7,098.84 and 3,438

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Solution

The fourth proportional to 4,739.40, 7,098.84 and 3,438 is: 5,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.40 : 7,098.84 = 3,438 : x
  2. Step 2: Convert to fraction form
    4,739.40/7,098.84 = 3,438/x
  3. Step 3: Cross multiply
    4,739.40x = 7,098.84 × 3,438
  4. Step 4: Simplify right side
    4,739.40x = 24,405,811.92
  5. Step 5: Solve for x
    x = 24,405,811.92/4,739.40
  6. Step 6: Final answer
    x = 5,149.56

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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.