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Finding the Fourth Proportional to 5,176.80, 7,767.36 and 4,135.68

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Solution

The fourth proportional to 5,176.80, 7,767.36 and 4,135.68 is: 6,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.80 : 7,767.36 = 4,135.68 : x
  2. Step 2: Convert to fraction form
    5,176.80/7,767.36 = 4,135.68/x
  3. Step 3: Cross multiply
    5,176.80x = 7,767.36 × 4,135.68
  4. Step 4: Simplify right side
    5,176.80x = 32,123,315.40
  5. Step 5: Solve for x
    x = 32,123,315.40/5,176.80
  6. Step 6: Final answer
    x = 6,205.25

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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.