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Finding the Fourth Proportional to 4,756.68, 7,136.33 and 1,984.65

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Solution

The fourth proportional to 4,756.68, 7,136.33 and 1,984.65 is: 2,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.68 : 7,136.33 = 1,984.65 : x
  2. Step 2: Convert to fraction form
    4,756.68/7,136.33 = 1,984.65/x
  3. Step 3: Cross multiply
    4,756.68x = 7,136.33 × 1,984.65
  4. Step 4: Simplify right side
    4,756.68x = 14,163,107.41
  5. Step 5: Solve for x
    x = 14,163,107.41/4,756.68
  6. Step 6: Final answer
    x = 2,977.52

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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.