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Finding the Fourth Proportional to 4,919.94, 6,786.90 and 4,075.92

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Solution

The fourth proportional to 4,919.94, 6,786.90 and 4,075.92 is: 5,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.94 : 6,786.90 = 4,075.92 : x
  2. Step 2: Convert to fraction form
    4,919.94/6,786.90 = 4,075.92/x
  3. Step 3: Cross multiply
    4,919.94x = 6,786.90 × 4,075.92
  4. Step 4: Simplify right side
    4,919.94x = 27,662,861.45
  5. Step 5: Solve for x
    x = 27,662,861.45/4,919.94
  6. Step 6: Final answer
    x = 5,622.60

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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.