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Finding the Fourth Proportional to 4,797.77, 7,195.88 and 3,406.90

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Solution

The fourth proportional to 4,797.77, 7,195.88 and 3,406.90 is: 5,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.77 : 7,195.88 = 3,406.90 : x
  2. Step 2: Convert to fraction form
    4,797.77/7,195.88 = 3,406.90/x
  3. Step 3: Cross multiply
    4,797.77x = 7,195.88 × 3,406.90
  4. Step 4: Simplify right side
    4,797.77x = 24,515,643.57
  5. Step 5: Solve for x
    x = 24,515,643.57/4,797.77
  6. Step 6: Final answer
    x = 5,109.80

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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.